Directorio
RENATO ALVAREZ NODARSE
Categoría
Catedrático de Universidad
Departamento
Área
Análisis Matemático
Docencia
Investigación
Grupo de investigación
Modelado físico-matemático de sistemas no lineales (MFMSNL)
Proyectos y contratos de investigación
POLINOMIOS ORTOGONALES Y APLICACIONES (HP2002-0065 - Responsable)
TEORÍA DE LA APROXIMACIÓN Y APLICACIONES (BFM2003-06335-C03-01 - Investigador/a)
TEORÍA DE LA APROXIMACIÓN (FQM262 - Investigador/a)
ESTANCIA DE OTRO INVESTIGADOR EN ANDALUCIA: NATIG M. ATAKISHIYEV (2/2003 - Responsable)
ACCION COORDINADA ENTRE LOS GRUPOS DE INVESTIGACIÓN FQM-207, FQM262 Y FQM-229 (CONVOCATORIA 3/9/2002) (JTR/FPT-2023 - Investigador/a)
ACCION COORDINADA ENTRE LOS GRUPOS DE INVESTIGACIÓN FQM-207, FQM262 Y FQM-229 (CONVOCATORIA 13/5/2003) (ARM/LD-43035 - Investigador/a)
FUNCIONES ESPECIALES, ENTROPÍAS CUÁNTICAS Y APLICACINOES BIO- Y NANOTECNOLÓGICAS (P05-FQM-481 - Investigador/a)
RATCHET IN POINT-PARTICICLE SYSTEMS AND IN EXTENDED MODELS: MECHANISMOS, CONTROL AND APPLICATIONS (FIS2006-27277-E - Investigador/a)
RATCHETS IN POINT-PARTICLE SYSTEMS AND IN EXTENDED MODELS: MECHANISM, CONTROL AND APPLICATIONS (ORGANIZACIÓN DE CONGRESOS). (FIS2006-27277-E/ - Investigador/a)
RATCHET IN POINT-PARTICLE SYTEMS AND IN EXTENDED MODELS: MECHANISMS, CONTROL AND APPLICATIONS (PP2006-01-01 - Investigador/a)
RATCHETS IN POINT-PARTICLE SYSTEMS AND, IN EXTENDED MODELS: MECHANISMS, CONTROL AND APPLICATIONS (FUT-C1-0003 - Responsable)
3? SEMINARIO INTERDISCIPLINAR SOBRE EL ADN (PP2006-01-26 - Responsable)
ORTOGONALIDAD, NO-LINEALIDAD Y TEORIA DE LA INFORMACION: INTERACCIONES Y APLICACIONES FISICAS, CLINICAS Y NANOTECNOLOGICAS (P06-FQM-01735 - Investigador/a)
INGENIO MATHEMATICA I-MATH (I-MATH CONSOLIDER - Investigador/a)
RATCHETS IN POINT-PARTICLE SYSTEMS AND IN EXTENDED MODELS: MECHANISM, CONTROL AND APPLICATIONS (ORGANIZACIÓN DE CONGRESOS). (CONVOCATORIA 1/2006 - Responsable)
ORTOGONALIDAD Y APROXIMACIÓN: TEORÍA Y APLICACIONES FÍSICAS Y CLÍNICAS (MTM2006-13000-C03-01 - Investigador/a)
WORKSHOP-I-MATH: SIGNAL PROCESSING AND ORTHOGONAL POLYNOMIALS (I-MATH-CONSOLIDER-SARE-C1-0025 - Investigador/a)
WORKSHOP-I-MATH: SIGNAL PROCESSING AND ORTHOGONAL POLYNOMIALS (P-2007/783 - Investigador/a)
PLAN PROPIO DE LA UGR PARA ORGANIZAR EL CONGRESO INTERNACIONAL "SPECIAL FUNCTIONS, INFORMATION THEORY AND MATHEMATICAL PHYSICS. AN INTERDISCIPLINARY C (1739/07 - Investigador/a)
MODELOS ESTOCÁSTICOS EN FÍSICA, BIOLOGÍA Y CIENCIAS SOCIALES (FIS2008-01820-E - Investigador/a)
AYUDA A LA REALIZACIÓN DE CONGRESO "MÉTODOS ESTOCÁSTICOS EN FÍSICA, BIOLOGÍA Y CIENCIAS SOCIALES" (FIS2008-01820-E/ - Investigador/a)
ORTOGONALIDAD, TEORÍA DE LA APROXIMACIÓN Y SUS APLICACIONES EN CIENCIA Y TECNOLOGÍA (MTM2009-12740-C03-02 - Investigador/a)
ORTOGONALIDAD, APROXIMACIÓN Y COMPLEJIDAD CUÁNTICA: TEORÍA Y APLICACIONES CIENTÍFICAS Y TECNOLÓGICAS (P09-FQM-4643 - Investigador/a)
AYUDA PARA LA REALIZACIÓN DEL ENCUENTRO MODELOS ESTOCÁSTICOS EN FÍSICA, BIOLOGÍA Y CIENCIAS SOCIALES. (IMUS2009 - Responsable)
MÉTODOS ESTOCÁSTICOS EN FÍSICA, BIOLOGÍA Y CIENCIAS SOCIALES. (2/2008-IAC08-II-3472 - Responsable)
AYUDA (STOCHDYN) PARA EL CONGRESO, RATCHET IN POINT-PARTICICLE SYSTEMS AND IN EXTENDED MODELS: MECHANISMOS, CONTROL AND APPLICATIONS (STOCHDYN-1148 - Responsable)
CONSTRUCTIVE COMPLEX ANALYSIS AND DENSITY FUNCTIONALS (INTAS-93-0219-EXT - Investigador/a)
FISICA ATOMICA Y MOLECULAR (FQM207 - Investigador/a)
TEORIA DE OPERADORES Y POLINOMIOS ORTOGONALES.APLICACIONES. (- - Investigador/a)
FISICA ATOMICA Y MOLECULAR. (FQM-206 - Investigador/a)
TEORÍA DE LA APROXIMACIÓN (BHA2000-0206-C04-02 - Investigador/a)
TEORIA DE LA APROXIMACION (FQM-262 - Investigador/a)
RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS AND ITS APPLICATIONS TO THE SPECTRAL THEORY OF DIFFERENCE OPERATORS, NON-LINEAR DYNAMICAL SYSTEMS, SPECIA (INTAS-2000-272 - Investigador/a)
VSITITA NATIG M. ATAKISHIEV A CENTRO DE INVESTIGACION DE ANDALUCIA (2000/3 - Responsable)
Funciones especiales, aproximación y aplicaciones (PID2021-124332NB-C21 - Investigador/a)
Incentivo al grupo de investigación FQM-262-Teoría de la aproximación (2010/FQM-262 - Investigador/a)
Incentivo al grupo de investigación FQM-262-Teoría de la aproximación (2011/FQM-262 - Investigador/a)
Subprograma de estancias de profesores e investigadores españoles en centros extranjeros de enseñanza superior e investigación (PR2011-0123 - Responsable)
Teoría de la aproximación, funciones especiales y modelos matemáticos: de la teoría a las aplicaciones oftalmológicas (P11-FQM-07276 - Investigador/a)
Ortogonalidad, Teoría de la Aproximación y Aplicaciones en Física Matemática (MTM2015-65888-C4-1-P - Investigador/a)
Ortogonalidad y Aproximación: Teoría y Aplicaciones en Ciencia y Tecnología (MTM2012-36732-C03-03 - Investigador/a)
Ayuda a la Consolidación del Grupo de Investigación FQM-262-Teoría de la aproximación (2005/FQM-262 - Investigador/a)
Ayuda a la Consolidación del Grupo de Investigación FQM-262-Teoría de la aproximación (2006/FQM-262 - Investigador/a)
Ayuda a la Consolidación del Grupo de Investigación FQM-262-Teoría de la aproximación (2007/FQM-262 - Investigador/a)
Ayuda a la Consolidación del Grupo de Investigación FQM-262-Teoría de la aproximación (2008/FQM-262 - Investigador/a)
Ayuda a la Consolidación del Grupo de Investigación FQM-262-Teoría de la aproximación (2009/FQM-262 - Investigador/a)
Ortogonalidad, aproximación y complejidad cuántica: teoría y aplicaciones científicas y tecnológicas (P09-FQM-4643 - Investigador/a)
Libros publicados
Alvarez-Nodarse, Renato:
POLINOMIOS HIPERGEOMÉTRICOS CLÁSICOS Y Q-POLINOMIOS. PRENSAS UNIVERSITARIAS DE ZARAGOZA. 2003. 84-7733-637-7
POLINOMIOS HIPERGEOMÉTRICOS CLÁSICOS Y Q-POLINOMIOS. PRENSAS UNIVERSITARIAS DE ZARAGOZA. 2003. 84-7733-637-7
Alvarez-Nodarse, Renato;Marcellan-, Francisco;Arvesu-Carvallo, Jorge:
ÁLGEBRA LINEAL Y APLICACIONES. Síntesis. 1999. 84-7738-702-8
ÁLGEBRA LINEAL Y APLICACIONES. Síntesis. 1999. 84-7738-702-8
Capítulos en Libros
Alvarez-Nodarse, Renato:
LOS Q-POLINOMIOS HIPERGEOMÉTRICOS. Pág. 85-96. UNIVERSIDAD DE LA RIOJA. UNIVERSIDAD DE LA RIOJA. 2001.
LOS Q-POLINOMIOS HIPERGEOMÉTRICOS. Pág. 85-96. UNIVERSIDAD DE LA RIOJA. UNIVERSIDAD DE LA RIOJA. 2001.
Participación en congresos
Alvarez-Nodarse, Renato:
Workshop Mathematics & Physics. Mathematical modeling in Physics: Two way street. IMUS, Universidad de Sevilla.. 2015
Workshop Mathematics & Physics. Mathematical modeling in Physics: Two way street. IMUS, Universidad de Sevilla.. 2015
Asistencia a congresos
Alvarez-Nodarse, Renato:
El covid-19 en números. Conferencia Congreso no publicada. XV EITA RESEARCH MEETING IN APPROXIMATION THEORY. Universidad de Zaragoza,. 2020
El covid-19 en números. Conferencia Congreso no publicada. XV EITA RESEARCH MEETING IN APPROXIMATION THEORY. Universidad de Zaragoza,. 2020
Alvarez-Nodarse, Renato:
On q-polynomials and some of their applications. Conferencia Congreso no publicada. Congreso: Selected Topics in Mathematical Physics. CUERNAVACA, MORELOS, MEXICO. 2016
On q-polynomials and some of their applications. Conferencia Congreso no publicada. Congreso: Selected Topics in Mathematical Physics. CUERNAVACA, MORELOS, MEXICO. 2016
Alvarez-Nodarse, Renato:
Group theory and Special functions theory: a two way street. Conferencias impartidas en Congreso. Conferencia de investigación. - Coimbra, Portugal. 2016
Group theory and Special functions theory: a two way street. Conferencias impartidas en Congreso. Conferencia de investigación. - Coimbra, Portugal. 2016
Alvarez-Nodarse, Renato:
Group theory and Special functions theory: a two way street.. Conferencias impartidas en Congreso. Conferencia de investigación. Univerisdad de Trás-os-Montes e Alto Douro, Vila Real, Portugal. 2016
Group theory and Special functions theory: a two way street.. Conferencias impartidas en Congreso. Conferencia de investigación. Univerisdad de Trás-os-Montes e Alto Douro, Vila Real, Portugal. 2016
Alvarez-Nodarse, Renato:
Son realmente las matemáticas el lenguaje del Universo. Conferencia Congreso no publicada. XI EITA RESEARCH MEETING IN APPROXIMATION THEORY. Ainsa Zaragoza. 2016
Son realmente las matemáticas el lenguaje del Universo. Conferencia Congreso no publicada. XI EITA RESEARCH MEETING IN APPROXIMATION THEORY. Ainsa Zaragoza. 2016
Alvarez-Nodarse, Renato:
Un viaje de ida y vuelta entre la teoría de grupos y la de funciones especiales.. Conferencias impartidas en Congreso. Un viaje de ida y vuelta entre la teoría de grupos y la de funciones especiales.. . 2016
Un viaje de ida y vuelta entre la teoría de grupos y la de funciones especiales.. Conferencias impartidas en Congreso. Un viaje de ida y vuelta entre la teoría de grupos y la de funciones especiales.. . 2016
Alvarez-Nodarse, Renato:
¿Son realmente las matemáticas el lenguaje de la Naturaleza?. Conferencias impartidas en Congreso. Conferencia de investigación. UNIVERSIDAD DE LA RIOJA. LOGROÑO. 2016
¿Son realmente las matemáticas el lenguaje de la Naturaleza?. Conferencias impartidas en Congreso. Conferencia de investigación. UNIVERSIDAD DE LA RIOJA. LOGROÑO. 2016
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Cuesta, Jose A:
Simetrías, análisis funcional y física no-lineal. Comunicación en congreso. IX EITA RESEARCH MEETING IN APPROXIMATION THEORY. Alquézar (Huesca), España. 2014
Simetrías, análisis funcional y física no-lineal. Comunicación en congreso. IX EITA RESEARCH MEETING IN APPROXIMATION THEORY. Alquézar (Huesca), España. 2014
Rodríguez-Quintero, Niurka;Cuesta, Jose A;Alvarez-Nodarse, Renato:
Symmetries shape the current in ratchets. Comunicación en congreso. XXXIV Dynamics Days Europe.. Bayreuth, Alemania.. 2014
Symmetries shape the current in ratchets. Comunicación en congreso. XXXIV Dynamics Days Europe.. Bayreuth, Alemania.. 2014
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Mertens, Franz:
The method of averaging and the double sine-Gordon equation.. Poster en Congreso. XXXIV Dynamics Days Europe.. Bayreuth, Alemania.. 2014
The method of averaging and the double sine-Gordon equation.. Poster en Congreso. XXXIV Dynamics Days Europe.. Bayreuth, Alemania.. 2014
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Casado-Pascual, Jesus;Cuesta, Jose A:
Time-shift invariance determines the functional shape of the current.. Comunicación en congreso. Network Meeting of the Alexander von Humboldt Foundation. . Berlin, Alemania. 2014
Time-shift invariance determines the functional shape of the current.. Comunicación en congreso. Network Meeting of the Alexander von Humboldt Foundation. . Berlin, Alemania. 2014
Alvarez-Nodarse, Renato:
On linearly related sequences of difference derivatives of discrete orthogonal polynomials and some applications. Comunicación en congreso. International Symposium on Orthogonality, Quadrature and Related Topics. El Puerto de la Cruz, Tenerife, España. 2014
On linearly related sequences of difference derivatives of discrete orthogonal polynomials and some applications. Comunicación en congreso. International Symposium on Orthogonality, Quadrature and Related Topics. El Puerto de la Cruz, Tenerife, España. 2014
Rodríguez-Quintero, Niurka;Cuesta, Jose;Alvarez-Nodarse, Renato:
Symmetries shape the current in ratchets induced by temporal asymmetric forces. Comunicación en congreso. European Conference on Complex systems. Bercelona, España. 2013
Symmetries shape the current in ratchets induced by temporal asymmetric forces. Comunicación en congreso. European Conference on Complex systems. Bercelona, España. 2013
Alvarez-Nodarse, Renato;Cuesta, Jose :
Symmetries shape the current in ratchets induced by temporal asymmetric forces. Conferencia Congreso no publicada. European Conference on Complex Systems 2013. Barcelona. 2013
Symmetries shape the current in ratchets induced by temporal asymmetric forces. Conferencia Congreso no publicada. European Conference on Complex Systems 2013. Barcelona. 2013
Alvarez-Nodarse, Renato;Cuesta, Jose:
The fallacy of the "method of moments" to calculate the current of rocking ratchet. Conferencia Congreso no publicada. European Conference on Complex Systems 2013. Barcelona. 2013
The fallacy of the "method of moments" to calculate the current of rocking ratchet. Conferencia Congreso no publicada. European Conference on Complex Systems 2013. Barcelona. 2013
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Cuesta, Jose:
The fallacy of the "method of moments" to calculate the current of rocking ratchet. Poster en Congreso. European Conference on Complex Systems 2013. Barcelona. 2013
The fallacy of the "method of moments" to calculate the current of rocking ratchet. Poster en Congreso. European Conference on Complex Systems 2013. Barcelona. 2013
Alvarez-Nodarse, Renato:
Krall-type polynomials on non-uniform lattices. Conferencia Congreso no publicada. International Conference on Asymptotics and Special Funcitions. HONG KONG (CHINA). 2011
Krall-type polynomials on non-uniform lattices. Conferencia Congreso no publicada. International Conference on Asymptotics and Special Funcitions. HONG KONG (CHINA). 2011
Alvarez-Nodarse, Renato;Petronilho-,Jose Carlos;Rodríguez-Quintero, Niurka:
ON JACOBI MATRICES AND THE CHAIN OF COUPLED QUANTUM OSCILLATORS. Conferencia Congreso no publicada. WORKSHOP ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS () (.2010.VILA REAL, PORTUGAL). VILA REAL, PORTUGAL. 2010
ON JACOBI MATRICES AND THE CHAIN OF COUPLED QUANTUM OSCILLATORS. Conferencia Congreso no publicada. WORKSHOP ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS () (.2010.VILA REAL, PORTUGAL). VILA REAL, PORTUGAL. 2010
Alvarez-Nodarse, Renato;Petronilho-,Jose Carlos;Rodríguez-Quintero, Niurka:
ON JACOBI MATRICES AND THE CHAIN OF COUPLED QUANTUM OSCILLATORS. Conferencia Congreso no publicada. WORKSHOP ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS () (.2010.VILA REAL, PORTUGAL). VILA REAL, PORTUGAL. 2010
ON JACOBI MATRICES AND THE CHAIN OF COUPLED QUANTUM OSCILLATORS. Conferencia Congreso no publicada. WORKSHOP ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS () (.2010.VILA REAL, PORTUGAL). VILA REAL, PORTUGAL. 2010
Alvarez-Nodarse, Renato:
RECURRENCE RELATIONS FOR SPECIAL FUNCTIONS AND THEIR APPLICATIONS IN QUANTUM PHYSICS. Comunicación en congreso. 10TH INTERNATIONAL SYMPOSIUM ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS OPSFA10 () (.2009.LEUVEN (BÉLGICA)). LEUVEN (BÉLGICA). 2009
RECURRENCE RELATIONS FOR SPECIAL FUNCTIONS AND THEIR APPLICATIONS IN QUANTUM PHYSICS. Comunicación en congreso. 10TH INTERNATIONAL SYMPOSIUM ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND APPLICATIONS OPSFA10 () (.2009.LEUVEN (BÉLGICA)). LEUVEN (BÉLGICA). 2009
Alvarez-Nodarse, Renato:
SOBRE POLINOMIOS ORTOGONALES CLÁSICOS. Comunicación en congreso. JORNADAS SOBRE POLINOMIOS ORTOGONALES () (.2007.JACA (HUESCA)). JACA (HUESCA). 2007
SOBRE POLINOMIOS ORTOGONALES CLÁSICOS. Comunicación en congreso. JORNADAS SOBRE POLINOMIOS ORTOGONALES () (.2007.JACA (HUESCA)). JACA (HUESCA). 2007
Alvarez-Nodarse, Renato:
ON JACOBI MATRICES AND THE CHAIN OF COUPLED QUANTUM OSCILLATORS. Comunicación en congreso. "SPECIAL FUNCTIONS, INFORMATION THEORY AND MATHEMATICAL PHYSICS: AN INTERDISCIPLINARY CONFERENCE IN HONOR OF PROF. JESÚS S. DEHESA'S 60 BIRTHDAY". ( A. GRANADA. 2007
ON JACOBI MATRICES AND THE CHAIN OF COUPLED QUANTUM OSCILLATORS. Comunicación en congreso. "SPECIAL FUNCTIONS, INFORMATION THEORY AND MATHEMATICAL PHYSICS: AN INTERDISCIPLINARY CONFERENCE IN HONOR OF PROF. JESÚS S. DEHESA'S 60 BIRTHDAY". ( A. GRANADA. 2007
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis:
UNIFORM AND POINTWISE CONVERGENT EXPANSIONS IN Q-FOURIER-BESSEL SERIES.. Comunicación en congreso. INTERNATIONAL CONGRESS OF MATHEMATICIANS, ICM2006 . . 2006
UNIFORM AND POINTWISE CONVERGENT EXPANSIONS IN Q-FOURIER-BESSEL SERIES.. Comunicación en congreso. INTERNATIONAL CONGRESS OF MATHEMATICIANS, ICM2006 . . 2006
Alvarez-Nodarse, Renato;Costas Santos, Roberto S.:
Factorization of the hypergeometric-type difference equation on the uniform lattice. Ponencia en Congreso. Conference on Difference Equations, Special Functions and Applications. München (Germany). 2005
Factorization of the hypergeometric-type difference equation on the uniform lattice. Ponencia en Congreso. Conference on Difference Equations, Special Functions and Applications. München (Germany). 2005
Sánchez-Dehesa-Moreno-Cid, Jesús;Alvarez-Nodarse, Renato;Sanchez-Moreno, Pablo;Yáñez-García, Rafael José:
MEDIDAS ENTRÓPICAS DE INFORMACIÓN DE POLINOMIOS ORTOGONALES DISCRETOS.. Comunicación en congreso. PRIMER CONGRESO CONJUNTO DE MATEMÁTICAS MAT.ES (RSME-SCM-SEIO-SEMA). Facultad de Ciencias, Universidad de Valencia (España). 2005
MEDIDAS ENTRÓPICAS DE INFORMACIÓN DE POLINOMIOS ORTOGONALES DISCRETOS.. Comunicación en congreso. PRIMER CONGRESO CONJUNTO DE MATEMÁTICAS MAT.ES (RSME-SCM-SEIO-SEMA). Facultad de Ciencias, Universidad de Valencia (España). 2005
Alvarez-Nodarse, Renato;Costas Santos, Roberto S.:
q-Racah coefficients and q-Racah polynomials for the q-algebras suq(2) and suq(1,1). Poster en Congreso. International Workshop on Orthogonal Polynomials 04 . Leganés. 2004
q-Racah coefficients and q-Racah polynomials for the q-algebras suq(2) and suq(1,1). Poster en Congreso. International Workshop on Orthogonal Polynomials 04 . Leganés. 2004
Alvarez-Nodarse, Renato;Petronilho-,Jose Carlos;Rodríguez-Quintero, Niurka:
ON EXACTLY SOLVABLE QUANTUM MODELS. Poster en Congreso. IWOP04 () (.2004.MADRID. ESPAÑA). MADRID. ESPAÑA. 2004
ON EXACTLY SOLVABLE QUANTUM MODELS. Poster en Congreso. IWOP04 () (.2004.MADRID. ESPAÑA). MADRID. ESPAÑA. 2004
Alvarez-Nodarse, Renato;Sánchez-Dehesa-Moreno-Cid, Jesús;Yáñez-García, Rafael José;Sanchez-Moreno, Pablo:
INFORMATION-THEORETIC MEASURES OF DISCRETE ORTHOGONAL POLYNOMIALS. Comunicación en congreso. NINTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS AND APPLICATIONS () (.2004.LOS ANGELES (USA)). LOS ANGELES (USA). 2004
INFORMATION-THEORETIC MEASURES OF DISCRETE ORTHOGONAL POLYNOMIALS. Comunicación en congreso. NINTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS AND APPLICATIONS () (.2004.LOS ANGELES (USA)). LOS ANGELES (USA). 2004
Alvarez-Nodarse, Renato;PETRONILHO-,J.;Rodríguez-Quintero, Niurka:
ON EXACTLY SOLVABLE QUANTUM MODELS. Poster en Congreso. NON-EQUILIBRIUM PHENOMENA AND PHASE TRANSITIONS IN COMPLEX () (.2004.BAYREUTH. ALEMANIA). BAYREUTH. ALEMANIA. 2004
ON EXACTLY SOLVABLE QUANTUM MODELS. Poster en Congreso. NON-EQUILIBRIUM PHENOMENA AND PHASE TRANSITIONS IN COMPLEX () (.2004.BAYREUTH. ALEMANIA). BAYREUTH. ALEMANIA. 2004
Costas Santos, Roberto S.;Alvarez-Nodarse, Renato:
Factorization of the second order difference equation of hypergeometric type on non-uniform lattices. Poster en Congreso. Orthogonal polynomials and Special functions S3: Summer school in Leuven (Belgium). Leuven, Belgium. 2002
Factorization of the second order difference equation of hypergeometric type on non-uniform lattices. Poster en Congreso. Orthogonal polynomials and Special functions S3: Summer school in Leuven (Belgium). Leuven, Belgium. 2002
Alvarez-Nodarse, Renato;Costas Santos, Roberto S.:
Factorization of the second order difference equation of hypergeometric type on non-uniform lattices. Poster en Congreso. International Workshop on Orthogonal Polynomials 02. Leganés, Spain. 2002
Factorization of the second order difference equation of hypergeometric type on non-uniform lattices. Poster en Congreso. International Workshop on Orthogonal Polynomials 02. Leganés, Spain. 2002
Alvarez-Nodarse, Renato;Durán-Guardeño, Antonio José:
POLINOMIOS ORTOGONALES. Comunicación en congreso. ENCUENTRO DE MATEMÁTICOS ANDALUCES (1.2000.SEVILLA, ESPAÑA). Santander (ESPAÑA). 2000
POLINOMIOS ORTOGONALES. Comunicación en congreso. ENCUENTRO DE MATEMÁTICOS ANDALUCES (1.2000.SEVILLA, ESPAÑA). Santander (ESPAÑA). 2000
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Ronveaux-, Andre:
LINEARIZATION PROBLEMS OF DISCRETE POLYNOMIALS. Conferencia Congreso no publicada. FOURTH INTAS WORKSHOP ON DENSITY FUNCTIONALS () (.1999.LEUVEN. BÉLGICA). LEUVEN. BÉLGICA. 1999
LINEARIZATION PROBLEMS OF DISCRETE POLYNOMIALS. Conferencia Congreso no publicada. FOURTH INTAS WORKSHOP ON DENSITY FUNCTIONALS () (.1999.LEUVEN. BÉLGICA). LEUVEN. BÉLGICA. 1999
Alvarez-Nodarse, Renato;Marcellan-, Francisco;Petronilho-,Jose Carlos:
ON SOME POLYNOMIAL MAPPINS FOR MEASURES. APPLICATIONS. Comunicación en congreso. INTERNATIONAL WORKSHOP ON ORTHOGONAL POLYNOMIALS: MATHEMATICAL PHYSICS (3.1996.LEGANES, MADRID). LEGANES, MADRID. 1996
ON SOME POLYNOMIAL MAPPINS FOR MEASURES. APPLICATIONS. Comunicación en congreso. INTERNATIONAL WORKSHOP ON ORTHOGONAL POLYNOMIALS: MATHEMATICAL PHYSICS (3.1996.LEGANES, MADRID). LEGANES, MADRID. 1996
Alvarez-Nodarse, Renato:
Krall-type polynomials on non-uniform lattices. Poster en Congreso. . .
Krall-type polynomials on non-uniform lattices. Poster en Congreso. . .
Artículos publicados
Gordillo, Guillermo;Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
The complete solution of the Schrödinger equation with the Rosen-Morse type potential via the Nikiforov-Uvarov method. Physica D: Nonlinear Phenomena. 2024. Vol: 458. 10.1016/j.physd.2023.134008.
The complete solution of the Schrödinger equation with the Rosen-Morse type potential via the Nikiforov-Uvarov method. Physica D: Nonlinear Phenomena. 2024. Vol: 458. 10.1016/j.physd.2023.134008.
Raban, Pablo;Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
Stability of solitary waves in nonlinear Klein-Gordon equations . Journal of Physics A: Mathematical and Theoretical. 2022. Vol: 55. Pág. 465201-1-465201-25. 10.1088/1751-8121/aca0d1.
Stability of solitary waves in nonlinear Klein-Gordon equations . Journal of Physics A: Mathematical and Theoretical. 2022. Vol: 55. Pág. 465201-1-465201-25. 10.1088/1751-8121/aca0d1.
Alvarez-Nodarse, Renato;Carreño -navas, Fernando :
Modelando una epidemia. La Gaceta de la Real Sociedad Matemática Española. 2022. Vol: 25. Núm: 3. Pág. 513-538.
Modelando una epidemia. La Gaceta de la Real Sociedad Matemática Española. 2022. Vol: 25. Núm: 3. Pág. 513-538.
Alvarez-Nodarse, Renato;Castillo, Kenier;Mbouna, Dieudonne;Petronilho, Jose Carlos:
On discrete coherent pairs of measures.. Journal of Difference Equations and Applications. 2022. Vol: 28. Pág. 853-868. 10.1088/1751-8121/aca0d1.
On discrete coherent pairs of measures.. Journal of Difference Equations and Applications. 2022. Vol: 28. Pág. 853-868. 10.1088/1751-8121/aca0d1.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
Boletín de la Titulación de Matemáticas de la UAL. Boletín de la Titulación de Matemáticas de la UAL. 2021. Vol: XIV. Núm: 3. Pág. 12-14.
Boletín de la Titulación de Matemáticas de la UAL. Boletín de la Titulación de Matemáticas de la UAL. 2021. Vol: XIV. Núm: 3. Pág. 12-14.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Esteban , FJ:
Las matemáticas y la covid-19. La Gaceta de la Real Sociedad Matemática Española. 2021. Vol: 24. Núm: 1. Pág. 91-109.
Las matemáticas y la covid-19. La Gaceta de la Real Sociedad Matemática Española. 2021. Vol: 24. Núm: 1. Pág. 91-109.
Alvarez-Nodarse, Renato:
Ramanujan y las q-series. La Gaceta de la Real Sociedad Matemática Española. 2020. Vol: 23. Núm: 2. Pág. 263-302.
Ramanujan y las q-series. La Gaceta de la Real Sociedad Matemática Española. 2020. Vol: 23. Núm: 2. Pág. 263-302.
Alvarez-Nodarse, Renato;Castillo, Kenier;Mbouna, Dieudonne;Petronilho, Jose Carlos:
R. Álvarez-Nodarse, K. Castillo, D. Mbouna and J. Petronilho: On classical orthogonal polynomials related to Hahn's operator. Integral Transforms and Special Functions. 2020. Vol: 31. Núm: 6. Pág. 487-505. https://doi.org/10.1080/10652469.2019.1702981.
R. Álvarez-Nodarse, K. Castillo, D. Mbouna and J. Petronilho: On classical orthogonal polynomials related to Hahn's operator. Integral Transforms and Special Functions. 2020. Vol: 31. Núm: 6. Pág. 487-505. https://doi.org/10.1080/10652469.2019.1702981.
Alvarez-Nodarse, Renato;Cardoso, Jose Luis;Abreu, Luis Daniel:
Uniform convergence of Fourier-Bessel series on a q-linear grid. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanujan. 2019. Vol: 49. Pág. 421-449. https://doi.org/10.1007/s11139-018-0070-3.
Uniform convergence of Fourier-Bessel series on a q-linear grid. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanujan. 2019. Vol: 49. Pág. 421-449. https://doi.org/10.1007/s11139-018-0070-3.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka:
Driven Nonlinear Dirac Equation revisited: theory and simulations.. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. Núm: 15. Pág. 155401-1-155401-17. 10.1088/1751-8121/ab0dd9.
Driven Nonlinear Dirac Equation revisited: theory and simulations.. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. Núm: 15. Pág. 155401-1-155401-17. 10.1088/1751-8121/ab0dd9.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Mertens-, Franz Georg;Shao, Sihong:
Driven Nonlinear Dirac Equation revisited: theory and simulations.. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. Pág. 155401-1-155401-17. 10.1088/1751-8121/ab0dd9.
Driven Nonlinear Dirac Equation revisited: theory and simulations.. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. Pág. 155401-1-155401-17. 10.1088/1751-8121/ab0dd9.
Rodríguez-Quintero, Niurka;Shao, Sihong;Alvarez-Nodarse, Renato;Mertens-, Franz Georg:
Externally driven nonlinear Dirac equation revisited: theory and simulations. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. 10.1088/1751-8121/ab0dd9.
Externally driven nonlinear Dirac equation revisited: theory and simulations. Journal of Physics A: Mathematical and Theoretical. 2019. Vol: 52. 10.1088/1751-8121/ab0dd9.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Mertens, Franz G.;Casic, N.;Fischer, Thomas:
Paramagnetic colloidal ribbons in a precessing magnetic field. Physical Review E. 2015. Vol: 91. Núm: 3. Pág. 032908-1-032908-7. https://doi.org/10.1103/PhysRevE.91.032908.
Paramagnetic colloidal ribbons in a precessing magnetic field. Physical Review E. 2015. Vol: 91. Núm: 3. Pág. 032908-1-032908-7. https://doi.org/10.1103/PhysRevE.91.032908.
Durán-Guardeño, Antonio José;Alvarez-Nodarse, Renato:
Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations . Journal of Mathematical Analysis and Applications. 2015. Vol: 434. Núm: 1. Pág. 304-320. http://dx.doi.org/10.1016/j.jmaa.2014.11.011.
Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations . Journal of Mathematical Analysis and Applications. 2015. Vol: 434. Núm: 1. Pág. 304-320. http://dx.doi.org/10.1016/j.jmaa.2014.11.011.
Alvarez-Nodarse, Renato;Petronilho, Jose ;Pinzón-cortés, Natalia;Sevinik-ad¿güzeld, Rezan:
On linearly related sequences of difference derivatives of discrete orthogonal polynomials. Journal of Computational and Applied Mathematics. 2015. Vol: 284. Pág. 26-37. http://dx.doi.org/10.1016/j.cam.2014.06.018.
On linearly related sequences of difference derivatives of discrete orthogonal polynomials. Journal of Computational and Applied Mathematics. 2015. Vol: 284. Pág. 26-37. http://dx.doi.org/10.1016/j.cam.2014.06.018.
Casado-Pascual, Jesus;Cuesta, Jose A.;Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato:
General approach for dealing with dynamical systems with spatiotemporal periodicities. Physical Review E. 2015. Vol: 91. Núm: 2. Pág. 022905-1-022905-4. https://doi.org/10.1103/PhysRevE.91.022905.
General approach for dealing with dynamical systems with spatiotemporal periodicities. Physical Review E. 2015. Vol: 91. Núm: 2. Pág. 022905-1-022905-4. https://doi.org/10.1103/PhysRevE.91.022905.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Mertens, Franz:
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models. Physical Review E. 2014. Vol: 90. http://dx.doi.org/10.1103/PhysRevE.90.042916.
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models. Physical Review E. 2014. Vol: 90. http://dx.doi.org/10.1103/PhysRevE.90.042916.
Alvarez-Nodarse, Renato;Ad¿güzel , Rezan:
On the limits of non-standard q-Racah polynomials. Journal of Computational and Applied Mathematics. 2014. Vol: 259. Pág. 877-886. http://dx.doi.org/10.1016/j.cam.2013.08.026.
On the limits of non-standard q-Racah polynomials. Journal of Computational and Applied Mathematics. 2014. Vol: 259. Pág. 877-886. http://dx.doi.org/10.1016/j.cam.2013.08.026.
Casic, Nebojsa ;Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Mertens, Franz;Jibuti, Levan;Zimmermann, Walter;Thomas M., Thomas:
Propulsion efficiency of a dynamic self-assembled helical ribbon. Physical Review Letters. 2013. Vol: 110. Pág. 168302-1-168302-4. 10.1103/PhysRevLett.110.168302 .
Propulsion efficiency of a dynamic self-assembled helical ribbon. Physical Review Letters. 2013. Vol: 110. Pág. 168302-1-168302-4. 10.1103/PhysRevLett.110.168302 .
Alvarez-Nodarse, Renato;Sevinik, Rezan:
On the generalized Askey-Wilson Polynomials. Journal of Approximation Theory. 2013. Vol: 170. Pág. 32-43. 10.1016/j.jat.2012.03.001.
On the generalized Askey-Wilson Polynomials. Journal of Approximation Theory. 2013. Vol: 170. Pág. 32-43. 10.1016/j.jat.2012.03.001.
Alvarez-Nodarse, Renato;Cardoso, Jose Luis:
On the Properties of Special Functions on the linear-type lattices. Journal of Mathematical Analysis and Applications. 2013. Vol: 405. Pág. 271-285. http://dx.doi.org/10.1016/j.jmaa.2013.03.058 .
On the Properties of Special Functions on the linear-type lattices. Journal of Mathematical Analysis and Applications. 2013. Vol: 405. Pág. 271-285. http://dx.doi.org/10.1016/j.jmaa.2013.03.058 .
Cuesta, Jose ;Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato:
Time-shift invariance determines the functional shape of the current in rocking ratchets. Physical Review X. 2013. Vol: 3. Pág. 041014-041014-10. 10.1103/PhysRevX.3.041014.
Time-shift invariance determines the functional shape of the current in rocking ratchets. Physical Review X. 2013. Vol: 3. Pág. 041014-041014-10. 10.1103/PhysRevX.3.041014.
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Cuesta, Jose:
Comment on "Ratchet universality in the presence of thermal noise". Physical Review E. 2013. Vol: 88. Pág. 066101-066101. 10.1103/PhysRevE.88.066101.
Comment on "Ratchet universality in the presence of thermal noise". Physical Review E. 2013. Vol: 88. Pág. 066101-066101. 10.1103/PhysRevE.88.066101.
Alvarez-Nodarse, Renato;Durán-Guardeño, Antonio José;De Los Ríos, Ana M.:
Orthogonal matrix polynomials satisfying second order difference equations. Journal of Approximation Theory. 2013. Vol: 169. Pág. 40-55. http://dx.doi.org/10.1016/j.jat.2013.02.003.
Orthogonal matrix polynomials satisfying second order difference equations. Journal of Approximation Theory. 2013. Vol: 169. Pág. 40-55. http://dx.doi.org/10.1016/j.jat.2013.02.003.
Alvarez-Nodarse, Renato;Sevinik, Rezan;Ta¿eli, Hasan:
On the Orthogonality of q-Classical Polynomials of the Hahn Class. Symmetry, Integrability and Geometry: Methods and Applications. 2012. Vol: 8. Pág. 1-30. http://dx.doi.org/10.3842/SIGMA.2012.042.
On the Orthogonality of q-Classical Polynomials of the Hahn Class. Symmetry, Integrability and Geometry: Methods and Applications. 2012. Vol: 8. Pág. 1-30. http://dx.doi.org/10.3842/SIGMA.2012.042.
Alvarez-Nodarse, Renato;Petronilho, Jose;Rodríguez-Quintero, Niurka:
Spectral properties of certain tridiagonal matrices. Linear Algebra and Its Applications. 2012. Vol: 436. Pág. 682-698. doi:10.1016/j.laa.2011.07.040.
Spectral properties of certain tridiagonal matrices. Linear Algebra and Its Applications. 2012. Vol: 436. Pág. 682-698. doi:10.1016/j.laa.2011.07.040.
Alvarez-Nodarse, Renato;Sevinik, Rezan:
The q-Racah-Krall-type polynomials. Applied Mathematics and Computation. 2012. Vol: 218. Núm: 23. Pág. 11362-11369. 10.1016/j.amc.2012.05.015.
The q-Racah-Krall-type polynomials. Applied Mathematics and Computation. 2012. Vol: 218. Núm: 23. Pág. 11362-11369. 10.1016/j.amc.2012.05.015.
Rodríguez-Quintero, Niurka;Cuesta, Jose;Alvarez-Nodarse, Renato:
Ratchet effect on a relativistic particle driven by external forces. Journal of Physics A: Mathematical and Theoretical. 2011. Vol: 44. Pág. 425205-1-425205-10. doi:10.1088/1751-8113/44/42/425205.
Ratchet effect on a relativistic particle driven by external forces. Journal of Physics A: Mathematical and Theoretical. 2011. Vol: 44. Pág. 425205-1-425205-10. doi:10.1088/1751-8113/44/42/425205.
Alvarez-Nodarse, Renato:
À la carte recurrence relations for continuous and discrete hypergeometric functions. Boletín de la Sociedad Española de Matemática Aplicada. 2011. Vol: 55. Pág. 41-57.
À la carte recurrence relations for continuous and discrete hypergeometric functions. Boletín de la Sociedad Española de Matemática Aplicada. 2011. Vol: 55. Pág. 41-57.
Alvarez-Nodarse, Renato;Sevinik, Rezan:
On the Krall-type polynomials on q-quadratic lattices. Indagationes Mathematicae. 2011. Vol: 21. Pág. 181-203. http://dx.doi.org/10.1016/j.indag.2011.04.002.
On the Krall-type polynomials on q-quadratic lattices. Indagationes Mathematicae. 2011. Vol: 21. Pág. 181-203. http://dx.doi.org/10.1016/j.indag.2011.04.002.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Cuesta-, Jose Antonio:
SYMMETRIES SHAPE THE CURRENT IN RATCHETS INDUCED BY A BI-HARMONIC FORCE. Physical Review E. 2010. Vol: 81. Pág. 030102R1-030102R4.
SYMMETRIES SHAPE THE CURRENT IN RATCHETS INDUCED BY A BI-HARMONIC FORCE. Physical Review E. 2010. Vol: 81. Pág. 030102R1-030102R4.
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis;Fernandes-,C.M.:
STRUCTURAL PROPERTIES OF HYPERGEOMETRIC-TYPE FUNCTIONS BY NIKIFOROV-UVAROV METHOD. Electronic Transactions On Numerical Analysis. 2009. Vol: 35. Pág. 17-39.
STRUCTURAL PROPERTIES OF HYPERGEOMETRIC-TYPE FUNCTIONS BY NIKIFOROV-UVAROV METHOD. Electronic Transactions On Numerical Analysis. 2009. Vol: 35. Pág. 17-39.
Rodríguez-Quintero, Niurka;Alvarez-Nodarse, Renato;Mertens-, Franz Georg:
DRIVEN AND DAMPED DOUBLE SINE-GORDON EQUATION: THE INFLUENCE OF INTERNAL MODES ON THE SOLITON RATCHET MOBILITY.. Physical Review E. 2009. Vol: 80. Pág. 016605-1-016605-8.
DRIVEN AND DAMPED DOUBLE SINE-GORDON EQUATION: THE INFLUENCE OF INTERNAL MODES ON THE SOLITON RATCHET MOBILITY.. Physical Review E. 2009. Vol: 80. Pág. 016605-1-016605-8.
Alfaro-,Manuel;Alvarez-Nodarse, Renato:
A CHARACTERIZATION OF THE CLASSICAL ORTHOGONAL DISCRETE AND Q-POLYNOMIALS. Journal of Computational and Applied Mathematics. 2007. Vol: 201. Núm: 1. Pág. 48-54.
A CHARACTERIZATION OF THE CLASSICAL ORTHOGONAL DISCRETE AND Q-POLYNOMIALS. Journal of Computational and Applied Mathematics. 2007. Vol: 201. Núm: 1. Pág. 48-54.
Alvarez-Nodarse, Renato;Smirnov-,Yuri F.:
DUAL PROPERTIES OF ORTHOGONAL POLYNOMIALS OF DISCRETE VARIABLES ASSOCIATED WITH THE QUANTUM ALGEBRA U-Q(SU(2)). Journal of Russian Laser Research. 2007. Vol: 28. Núm: 1. Pág. 20-47.
DUAL PROPERTIES OF ORTHOGONAL POLYNOMIALS OF DISCRETE VARIABLES ASSOCIATED WITH THE QUANTUM ALGEBRA U-Q(SU(2)). Journal of Russian Laser Research. 2007. Vol: 28. Núm: 1. Pág. 20-47.
Alvarez-Nodarse, Renato;Atakishiev, Natig M.;Costas Santos, Roberto S.:
Factorization of the hypergeometric-type difference equation on the uniform lattice. Electronic Transactions On Numerical Analysis. 2007. Vol: 27. Pág. 34-50.
Factorization of the hypergeometric-type difference equation on the uniform lattice. Electronic Transactions On Numerical Analysis. 2007. Vol: 27. Pág. 34-50.
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis;Atakishiyev-, Natig M.;Costas-Santos-, R.:
FACTORIZATION OF THE HYPERGEOMETRIC-TYPE DIFFERENCE EQUATION ON THE UNIFORM LATTICE. Electronic Transactions On Numerical Analysis. 2007. Vol: 27. Pág. 34-50.
FACTORIZATION OF THE HYPERGEOMETRIC-TYPE DIFFERENCE EQUATION ON THE UNIFORM LATTICE. Electronic Transactions On Numerical Analysis. 2007. Vol: 27. Pág. 34-50.
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis;Rodríguez-Quintero, Niurka:
ON RECURRENCE RELATIONS FOR RADIAL WAVE FUNCTIONS FOR THE N-TH DIMENSIONAL OSCILLATORS AND HYDROGENLIKE ATOMS: ANALYTICAL AND NUMERICAL STUDY. Electronic Transactions On Numerical Analysis. 2006. Vol: 24. Pág. 7-23.
ON RECURRENCE RELATIONS FOR RADIAL WAVE FUNCTIONS FOR THE N-TH DIMENSIONAL OSCILLATORS AND HYDROGENLIKE ATOMS: ANALYTICAL AND NUMERICAL STUDY. Electronic Transactions On Numerical Analysis. 2006. Vol: 24. Pág. 7-23.
Alvarez-Nodarse, Renato:
ON CHARACTERIZATIONS OF CLASSICAL POLYNOMIALS. Journal of Computational and Applied Mathematics. 2006. Vol: 196. Núm: 1. Pág. 320-337.
ON CHARACTERIZATIONS OF CLASSICAL POLYNOMIALS. Journal of Computational and Applied Mathematics. 2006. Vol: 196. Núm: 1. Pág. 320-337.
Alvarez-Nodarse, Renato;Costas Santos, Roberto S.:
Limit relations between q-Krall type orthogonal polynomials. Journal of Mathematical Analysis and Applications. 2006. Vol: 322. Núm: 1. Pág. 158-176. 10.1016/j.jmaa.2005.08.067.
Limit relations between q-Krall type orthogonal polynomials. Journal of Mathematical Analysis and Applications. 2006. Vol: 322. Núm: 1. Pág. 158-176. 10.1016/j.jmaa.2005.08.067.
Alvarez-Nodarse, Renato;Costas Santos, Roberto S.;Smirnov, Yuri F.:
A q-analog of the Racah polynomials and q-algebra SUq(2) in quantum optics. Journal of Russian Laser Research. 2006. Vol: 27. Núm: 1. Pág. 1-32. 10.1007/s10946-006-0001-4.
A q-analog of the Racah polynomials and q-algebra SUq(2) in quantum optics. Journal of Russian Laser Research. 2006. Vol: 27. Núm: 1. Pág. 1-32. 10.1007/s10946-006-0001-4.
Alvarez-Nodarse, Renato:
MODELOS MATEMÁTICOS EN BIOLOGÍA: UN VIAJE DE IDA Y VUELTA. Boletín de la Sociedad Española de Matemática Aplicada. 2006. Núm: 35. Pág. 73-112.
MODELOS MATEMÁTICOS EN BIOLOGÍA: UN VIAJE DE IDA Y VUELTA. Boletín de la Sociedad Española de Matemática Aplicada. 2006. Núm: 35. Pág. 73-112.
Alvarez-Nodarse, Renato;Smirnov-,Yuri F.;Costas-Santos-, R.:
A Q-ANALOG OF RACAH POLYNOMIALS AND Q-ALGEBRA SUQ(2) IN QUANTUM OPTICS. Journal of Russian Laser Research. 2006. Vol: 27. Núm: 1. Pág. 1-32.
A Q-ANALOG OF RACAH POLYNOMIALS AND Q-ALGEBRA SUQ(2) IN QUANTUM OPTICS. Journal of Russian Laser Research. 2006. Vol: 27. Núm: 1. Pág. 1-32.
Alvarez-Nodarse, Renato;Costas-Santos-, R.:
LIMIT RELATIONS BETWEEN Q-KRALL TYPE ORTHOGONAL POLYNOMIALS. Journal of Mathematical Analysis and Applications. 2006. Vol: 322. Núm: 1. Pág. 158-176.
LIMIT RELATIONS BETWEEN Q-KRALL TYPE ORTHOGONAL POLYNOMIALS. Journal of Mathematical Analysis and Applications. 2006. Vol: 322. Núm: 1. Pág. 158-176.
Alvarez-Nodarse, Renato;Atakishiyev-, Natig M.;Atakishiyeva-,Mesuma:
ON A Q-EXTENSION OF THE LINEAR HARMONIC OSCILLATOR WITH THE CONTINUOUS ORTHOGONALITY PROPERTY ON R. Czechoslovak Journal of Physics. 2005. Vol: 55. Núm: 11. Pág. 1315-1320.
ON A Q-EXTENSION OF THE LINEAR HARMONIC OSCILLATOR WITH THE CONTINUOUS ORTHOGONALITY PROPERTY ON R. Czechoslovak Journal of Physics. 2005. Vol: 55. Núm: 11. Pág. 1315-1320.
Alvarez-Nodarse, Renato; Atakishiyev, N. M.;Costas Santos, Roberto S.:
Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. Journal of Physics A: Mathematical and General. 2005. Vol: 38. Núm: 1. Pág. 153-174. 10.1088/0305-4470/38/1/011.
Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. Journal of Physics A: Mathematical and General. 2005. Vol: 38. Núm: 1. Pág. 153-174. 10.1088/0305-4470/38/1/011.
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis:
RECURRENCE RELATIONS FOR DISCRETE HYPERGEOMETRIC FUNCTIONS. Journal of Difference Equations and Applications. 2005. Vol: 11. Núm: 9. Pág. 829-850.
RECURRENCE RELATIONS FOR DISCRETE HYPERGEOMETRIC FUNCTIONS. Journal of Difference Equations and Applications. 2005. Vol: 11. Núm: 9. Pág. 829-850.
Alvarez-Nodarse, Renato;Petronilho-,Jose Carlos;Rodríguez-Quintero, Niurka:
ON SOME TRIDIAGONAL K-TOEPLITZ MATRICES: ALGEBRAIC AND ANALYTICAL ASPECTS. APPLICATIONS. Journal of Computational and Applied Mathematics. 2005. Vol: 184. Núm: 2. Pág. 518-537.
ON SOME TRIDIAGONAL K-TOEPLITZ MATRICES: ALGEBRAIC AND ANALYTICAL ASPECTS. APPLICATIONS. Journal of Computational and Applied Mathematics. 2005. Vol: 184. Núm: 2. Pág. 518-537.
Alvarez-Nodarse, Renato;Atakishiyev-, Natig M.;Costas-Santos-, R.:
FACTORIZATION OF THE HYPERGEOMETRIC-TYPE DIFFERENCE EQUATION ON NON-UNIFORM LATTICES: DYNAMICAL ALGEBRA. Journal of Physics A: Mathematical and General. 2005. Vol: 38. Núm: 1. Pág. 153-174.
FACTORIZATION OF THE HYPERGEOMETRIC-TYPE DIFFERENCE EQUATION ON NON-UNIFORM LATTICES: DYNAMICAL ALGEBRA. Journal of Physics A: Mathematical and General. 2005. Vol: 38. Núm: 1. Pág. 153-174.
Alvarez-Nodarse, Renato;Arvesu-Carvallo, Jorge;Marcellan-, Francisco:
MODIFICATIONS OF QUASI-DEFINITE LINEAR FUNCTIONALS VIA ADDITION OF DELTA AND DERIVATIVES OF DELTA DIRAC FUNCTIONS. Indagationes Mathematicae. 2004. Vol: 15. Núm: 1. Pág. 1-20.
MODIFICATIONS OF QUASI-DEFINITE LINEAR FUNCTIONALS VIA ADDITION OF DELTA AND DERIVATIVES OF DELTA DIRAC FUNCTIONS. Indagationes Mathematicae. 2004. Vol: 15. Núm: 1. Pág. 1-20.
Alvarez-Nodarse, Renato;Atakishiyev-, Natig M.;Atakishiyeva-,Mesuma:
A Q-EXTENSION OF THE GENERALIZED HERMITE POLYNOMIALS WITH THE CONTINUOUS ORTHOGONALITY PROPERTY ON R. International Journal of Pure and Applied Mathematics. 2004. Vol: 10. Núm: 3. Pág. 335-347.
A Q-EXTENSION OF THE GENERALIZED HERMITE POLYNOMIALS WITH THE CONTINUOUS ORTHOGONALITY PROPERTY ON R. International Journal of Pure and Applied Mathematics. 2004. Vol: 10. Núm: 3. Pág. 335-347.
Alvarez-Nodarse, Renato;Arvesu-Carvallo, Jorge;Marcellan-, Francisco:
ON THE KRALL-TYPE POLYNOMIALS. Journal of Applied Mathematics. 2004. Núm: 5. Pág. 359-369.
ON THE KRALL-TYPE POLYNOMIALS. Journal of Applied Mathematics. 2004. Núm: 5. Pág. 359-369.
Alvarez-Nodarse, Renato;Petronilho-,Jose Carlos:
ON THE KRALL-TYPE DISCRETE POLYNOMIALS. Journal of Mathematical Analysis and Applications. 2004. Vol: 295. Núm: 1. Pág. 55-69.
ON THE KRALL-TYPE DISCRETE POLYNOMIALS. Journal of Mathematical Analysis and Applications. 2004. Vol: 295. Núm: 1. Pág. 55-69.
Alvarez-Nodarse, Renato;Moreno-Balcázar, Juan José:
ASYMPTOTIC PROPERTIES OF GENERALIZED LAGUERRE ORTHOGONAL POLYNOMIALS. Indagationes Mathematicae. 2004. Vol: 15. Núm: 2. Pág. 151-165.
ASYMPTOTIC PROPERTIES OF GENERALIZED LAGUERRE ORTHOGONAL POLYNOMIALS. Indagationes Mathematicae. 2004. Vol: 15. Núm: 2. Pág. 151-165.
Alvarez-Nodarse, Renato:
SOME LIMIT RELATIONS IN THE A(1) TABLEAU OF DUNKL-CHEREDNIK OPERATORS. Indagationes Mathematicae. 2003. Vol: 14. Núm: 3-4. Pág. 293-308.
SOME LIMIT RELATIONS IN THE A(1) TABLEAU OF DUNKL-CHEREDNIK OPERATORS. Indagationes Mathematicae. 2003. Vol: 14. Núm: 3-4. Pág. 293-308.
Alvarez-Nodarse, Renato;Cardoso-,Jose Luis:
RECURRENCE RELATIONS FOR RADIAL WAVEFUNCTIONS FOR THE NTH- DIMENSIONAL OSCILLATORS AND HYDROGENLIKE ATOMS. Journal of Physics A: Mathematical and General. 2003. Vol: 36. Núm: 8. Pág. 2055-2068.
RECURRENCE RELATIONS FOR RADIAL WAVEFUNCTIONS FOR THE NTH- DIMENSIONAL OSCILLATORS AND HYDROGENLIKE ATOMS. Journal of Physics A: Mathematical and General. 2003. Vol: 36. Núm: 8. Pág. 2055-2068.
Alvarez-Nodarse, Renato;Atakishiyev-, Natig M.;Atakishiyeva-,Mesuma:
MELLIN TRANSFORMS FOR SOME FAMILIES OF Q-POLYNOMIALS.. Journal of Computational and Applied Mathematics. 2003. Vol: 153. Núm: 1-2. Pág. 9-18.
MELLIN TRANSFORMS FOR SOME FAMILIES OF Q-POLYNOMIALS.. Journal of Computational and Applied Mathematics. 2003. Vol: 153. Núm: 1-2. Pág. 9-18.
Alvarez-Nodarse, Renato;Atakishiyev-, Natig M.;Atakishiyeva-,Mesuma:
ON A Q-EXTENSION OF THE HERMITE POLYNOMIALS H-N(X) WITH THE CONTINUOUS ORTHOGONALITY PROPERTY ON R. Boletín de la Sociedad Matemática Mexicana. 2002. Vol: 8. Núm: 2. Pág. 127-139.
ON A Q-EXTENSION OF THE HERMITE POLYNOMIALS H-N(X) WITH THE CONTINUOUS ORTHOGONALITY PROPERTY ON R. Boletín de la Sociedad Matemática Mexicana. 2002. Vol: 8. Núm: 2. Pág. 127-139.
Alvarez-Nodarse, Renato;Sánchez-Dehesa-Moreno-Cid, Jesús:
DISTRIBUTIONS OF ZEROS OF DISCRETE AND CONTINUOUS POLYNOMIALS FROM THEIR RECURRENCE RELATION. Applied Mathematics and Computation. 2002. Vol: 128. Núm: 2-3. Pág. 167-190.
DISTRIBUTIONS OF ZEROS OF DISCRETE AND CONTINUOUS POLYNOMIALS FROM THEIR RECURRENCE RELATION. Applied Mathematics and Computation. 2002. Vol: 128. Núm: 2-3. Pág. 167-190.
Alvarez-Nodarse, Renato;Arvesu-Carvallo, Jorge;Marcellan-, Francisco:
ON A MODIFICATION OF THE JACOBI LINEAR FUNCTIONAL: ASYMPTOTIC PROPERTIES AND ZEROS OF THE CORRESPONDING ORTHOGONAL POLYNOMIALS. Acta Applicandae Mathematicae. 2002. Vol: 71. Núm: 2. Pág. 127-158.
ON A MODIFICATION OF THE JACOBI LINEAR FUNCTIONAL: ASYMPTOTIC PROPERTIES AND ZEROS OF THE CORRESPONDING ORTHOGONAL POLYNOMIALS. Acta Applicandae Mathematicae. 2002. Vol: 71. Núm: 2. Pág. 127-158.
Alvarez-Nodarse, Renato;Arvesú-,Juan;Yáñez-García, Rafael José:
ON THE CONNECTION AND LINEARIZATION PROBLEM FOR DISCRETE HYPERGEOMETRIC Q-POLYNOMIALS. Journal of Mathematical Analysis and Applications. 2001. Vol: 257. Núm: 1. Pág. 52-78.
ON THE CONNECTION AND LINEARIZATION PROBLEM FOR DISCRETE HYPERGEOMETRIC Q-POLYNOMIALS. Journal of Mathematical Analysis and Applications. 2001. Vol: 257. Núm: 1. Pág. 52-78.
Alvarez-Nodarse, Renato:
POLINOMIOS ORTOGONALES: HISTORIA Y APLICACIONES. Boletín de la Sociedad Española de Matemática Aplicada. 2001. Vol: 18. Pág. 19-45.
POLINOMIOS ORTOGONALES: HISTORIA Y APLICACIONES. Boletín de la Sociedad Española de Matemática Aplicada. 2001. Vol: 18. Pág. 19-45.
Alvarez-Nodarse, Renato;Medem-Roesicke, Juan Carlos:
Q-CLASSICAL POLYNOMIALS AND THE Q-ASKEY AND NIKIFOROV-UVAROV TABLEAUS. Journal of Computational and Applied Mathematics. 2001. Vol: 135. Núm: 2. Pág. 197-223.
Q-CLASSICAL POLYNOMIALS AND THE Q-ASKEY AND NIKIFOROV-UVAROV TABLEAUS. Journal of Computational and Applied Mathematics. 2001. Vol: 135. Núm: 2. Pág. 197-223.
Marcellan-, Francisco;Alvarez-Nodarse, Renato:
ON THE "FAVARD THEOREM" AND ITS EXTENSIONS. Journal of Computational and Applied Mathematics. 2001. Vol: 127. Núm: 1-2. Pág. 231-254.
ON THE "FAVARD THEOREM" AND ITS EXTENSIONS. Journal of Computational and Applied Mathematics. 2001. Vol: 127. Núm: 1-2. Pág. 231-254.
Medem-Roesicke, Juan Carlos;Alvarez-Nodarse, Renato;Marcellan-, Francisco:
ON THE Q-POLYNOMIALS: A DISTRIBUTIONAL STUDY. Journal of Computational and Applied Mathematics. 2001. Vol: 135. Núm: 2. Pág. 157-196.
ON THE Q-POLYNOMIALS: A DISTRIBUTIONAL STUDY. Journal of Computational and Applied Mathematics. 2001. Vol: 135. Núm: 2. Pág. 157-196.
Alvarez-Nodarse, Renato;Costas-Santos-, R.:
FACTORIZATION METHOD FOR DIFFERENCE EQUATIONS OF HYPERGEOMETRIC TYPE ON NONUNIFORM LATTICES. Journal of Physics A: Mathematical and General. 2001. Vol: 34. Núm: 27. Pág. 5551-5569.
FACTORIZATION METHOD FOR DIFFERENCE EQUATIONS OF HYPERGEOMETRIC TYPE ON NONUNIFORM LATTICES. Journal of Physics A: Mathematical and General. 2001. Vol: 34. Núm: 27. Pág. 5551-5569.
Alvarez-Nodarse, Renato;Costas Santos, Roberto S.:
Factorization method for difference equations of hypergeometric type on nonuniform lattices. Journal of Physics A: Mathematical and General. 2001. Vol: 34. Núm: 27. Pág. 5551-5569. http://dx.doi.org/10.1088/0305-4470/34/27/306.
Factorization method for difference equations of hypergeometric type on nonuniform lattices. Journal of Physics A: Mathematical and General. 2001. Vol: 34. Núm: 27. Pág. 5551-5569. http://dx.doi.org/10.1088/0305-4470/34/27/306.
Carballo-García, Gloria;Alvarez-Nodarse, Renato;Sánchez-Dehesa-Moreno-Cid, Jesús:
CHEBYCHEV POLYNOMIALS IN A SPEECH RECOGNITION MODEL. Applied Mathematics Letters. 2001. Vol: 14. Núm: 5. Pág. 581-585.
CHEBYCHEV POLYNOMIALS IN A SPEECH RECOGNITION MODEL. Applied Mathematics Letters. 2001. Vol: 14. Núm: 5. Pág. 581-585.
Alvarez-Nodarse, Renato;Arvesu-Carvallo, Jorge:
ON THE Q-POLYNOMIALS ON THE EXPONENTIAL LATTICE X(S)= C_1 Q^S + C_3. Integral Transforms and Special Functions. 1999. Pág. 299-324.
ON THE Q-POLYNOMIALS ON THE EXPONENTIAL LATTICE X(S)= C_1 Q^S + C_3. Integral Transforms and Special Functions. 1999. Pág. 299-324.
Alvarez-Nodarse, Renato;Rodríguez-Quintero, Niurka;Ronveaux-, Andre:
ON THE LINEARIZATION PROBLEM INVOLVING POCHHAMMER SYMBOLS AND THEIR Q-ANALOGUES. Journal of Computational and Applied Mathematics. 1999. Vol: 107. Pág. 133-146.
ON THE LINEARIZATION PROBLEM INVOLVING POCHHAMMER SYMBOLS AND THEIR Q-ANALOGUES. Journal of Computational and Applied Mathematics. 1999. Vol: 107. Pág. 133-146.
Alvarez-Nodarse, Renato;Sánchez-Dehesa-Moreno-Cid, Jesús;Yáñez-García, Rafael José:
MODIFIED CLEBSCH-GORDAN-TYPE EXPANSIONS FOR PRODUCTS OF DISCRETE HYPERGEOMETRIC POLYNOMIALS. Journal of Computational and Applied Mathematics. 1998. Vol: 89. Núm: 1. Pág. 171-197.
MODIFIED CLEBSCH-GORDAN-TYPE EXPANSIONS FOR PRODUCTS OF DISCRETE HYPERGEOMETRIC POLYNOMIALS. Journal of Computational and Applied Mathematics. 1998. Vol: 89. Núm: 1. Pág. 171-197.
Alvarez-Nodarse, Renato:
SECOND ORDER DIFFERENCE EQUATIONS FOR CERTAIN FAMILIES OF 'DISCRETE' POLYNOMIALS. Journal of Computational and Applied Mathematics. 1998. Vol: 99. Núm: 1-2. Pág. 37-45.
SECOND ORDER DIFFERENCE EQUATIONS FOR CERTAIN FAMILIES OF 'DISCRETE' POLYNOMIALS. Journal of Computational and Applied Mathematics. 1998. Vol: 99. Núm: 1-2. Pág. 37-45.
Alvarez-Nodarse, Renato;Marcellan-, Francisco:
ON THE MODIFICATION OF CLASSICAL ORTHOGONAL POLYNOMIALS: THE SYMMETRICCASE.. Approximation Theory and Its Applications. 1998. Vol: 14. Pág. 8-28.
ON THE MODIFICATION OF CLASSICAL ORTHOGONAL POLYNOMIALS: THE SYMMETRICCASE.. Approximation Theory and Its Applications. 1998. Vol: 14. Pág. 8-28.
Alvarez-Nodarse, Renato;Marcellan-, Francisco:
WKB APPROXIMATION AND KRALL-TYPE ORTHOGONAL POLYNOMIALS. Acta Applicandae Mathematicae. 1998. Vol: 54. Núm: 1. Pág. 27-58.
WKB APPROXIMATION AND KRALL-TYPE ORTHOGONAL POLYNOMIALS. Acta Applicandae Mathematicae. 1998. Vol: 54. Núm: 1. Pág. 27-58.
Alvarez-Nodarse, Renato;Marcellan-, Francisco;Arvesu-Carvallo, Jorge:
SOME EXTENSION OF THE BESSEL TYPE ORTHOGONAL POLYNOMIALS POLYNOMIALS.. Integral Transforms and Special Functions. 1998. Pág. 191-214.
SOME EXTENSION OF THE BESSEL TYPE ORTHOGONAL POLYNOMIALS POLYNOMIALS.. Integral Transforms and Special Functions. 1998. Pág. 191-214.
Alvarez-Nodarse, Renato;Arvesu-Carvallo, Jorge;Marcellan-, Francisco:
JACOBI-SOBOLEV-TYPE ORTHOGONAL POLYNOMIALS: SECOND-ORDER DIFFERENTIAL EQUATION AND ZEROS. Journal of Computational and Applied Mathematics. 1998. Vol: 90. Núm: 2. Pág. 135-156.
JACOBI-SOBOLEV-TYPE ORTHOGONAL POLYNOMIALS: SECOND-ORDER DIFFERENTIAL EQUATION AND ZEROS. Journal of Computational and Applied Mathematics. 1998. Vol: 90. Núm: 2. Pág. 135-156.
Alvarez-Nodarse, Renato;Marcellan-, Francisco:
THE LIMIT RELATIONS BETWEEN GENERALIZED ORTHOGONAL POLYNOMIALS. Indagationes Mathematicae. 1997. Pág. 295-316.
THE LIMIT RELATIONS BETWEEN GENERALIZED ORTHOGONAL POLYNOMIALS. Indagationes Mathematicae. 1997. Pág. 295-316.
Alvarez-Nodarse, Renato;Buendìa-Àvila, Enrique;Sánchez-Dehesa-Moreno-Cid, Jesús:
THE DISTRIBUTION OF ZEROS OF GENERAL Q-POLYNOMIALS. Journal of Physics A: Mathematical and General. 1997. Vol: 30. Núm: 19. Pág. 6743-6768.
THE DISTRIBUTION OF ZEROS OF GENERAL Q-POLYNOMIALS. Journal of Physics A: Mathematical and General. 1997. Vol: 30. Núm: 19. Pág. 6743-6768.
Tesis dirigidas o codirigidas
(Doctorando no grabado):
Orthogonal Matrix Polynomials and Differential, Difference and q-Difference Matrix Operators. Tesis Doctoral. 2014
Orthogonal Matrix Polynomials and Differential, Difference and q-Difference Matrix Operators. Tesis Doctoral. 2014
Zamora-Sillero, Elias:
FORMACIÓN Y DINÁMICA DE ONDAS SOLITARIAS. Tesis Doctoral. 2008
FORMACIÓN Y DINÁMICA DE ONDAS SOLITARIAS. Tesis Doctoral. 2008
(Doctorando no grabado):
Polinomios ortogonales respecto a medidas q-discretas. Aplicaciones. Tesis Doctoral. 2007
Polinomios ortogonales respecto a medidas q-discretas. Aplicaciones. Tesis Doctoral. 2007
Arvesu-Carvallo, Jorge:
PROPIEDADES ANALITICAS Y ALGEBRAICAS DE POLINOMIOS CON DISTINTOS TIPOS DE ORTOGONALIDAD. Tesis Doctoral. 1999
PROPIEDADES ANALITICAS Y ALGEBRAICAS DE POLINOMIOS CON DISTINTOS TIPOS DE ORTOGONALIDAD. Tesis Doctoral. 1999
