instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
imus-logo
Renato Alvarez Nodarse
Miembro ordinario
ran@us.es
http://euler.us.es/~renato/
Situación profesional: Catedrático
Despacho: Departamento de Análisis Matemático
Departamento: Análisis Matemático
Teléfono: 954557994

Fields of Interest

33Cxx
Hypergeometric functions
33Dxx
Basic hypergeometric functions
35Qxx
Equations of mathematical physics and other areas of application

Proyectos de la JJAA

P09-FQM-4643 Ortogonalidad, Aproximación y Complejidad Cuántica: Teoría y Aplicaciones Científicas y Tecnológicas Miembro del Proyecto

Proyectos del Plan Nacional I+D+i

MTM2015-65888-C4-1-P Ortogonalidad, Teoría de la Aproximación y Aplicaciones en Física Matemática Miembro del Proyecto
MTM2012-36732-C03-03 Ortogonalidad y Aproximación: Teoría y Aplicaciones en Ciencia y Tecnología Miembro del Proyecto
MTM2009-12740-C03-02 Ortogonalidad, teoría de la aproximación y sus aplicaciones en ciencia y tecnología Miembro del Proyecto
MTM2006-13000-C03-01 Ortogonalidad y aproximación: teoría y aplicaciones físicas y clínicas Miembro del Proyecto

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

FQM262 Teoria de la Aproximación Miembro del Proyecto


Listado de Artículos (24)

  • Casado-Pascual, Jesús; Cuesta, José A.; Quintero, Niurka R.; Alvarez-Nodarse, Renato. General approach for dealing with dynamical systems with spatiotemporal periodicities. Physical Review E (2015)
  • Álvarez-Nodarse, Renato; Durán, Antonio J. Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations. Journal of Mathematical Analysis and Applications (2015)
  • R. Alvarez-Nodarse; N. R. Quintero; F. G. Mertens; N. Casic; Th. M. Fischer. Paramagnetic colloidal ribbons in a precessing magnetic field. Physical Review E (2015)
  • Álvarez-Nodarse, R.; Petronilho, J.; Pinzón-Cortés, N. C.; Sevinik-Adigüzel, R. On linearly related sequences of difference derivatives of discrete orthogonal polynomials. Journal of Computational and Applied Mathematics (2015)
  • Alvarez-Nodarse, R.; Sevinik Adigüzel, R. On the limit of generalized non-standard q-Racah polynomials. Journal of Computational and Applied Mathematics (2014)
  • Alvarez-Nodarse, R.; Quintero, N.R.; Mertens, F.G. Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models. Physical Review E (2014)
  • Cuesta, José A., Quintero, Niurka R., Alvarez-Nodarse, Renato. Time-Shift Invariance Determines the Functional Shape of the Current in Dissipative Rocking Ratchets. Physical Review X (2013)
  • Álvarez-Nodarse, R.; Sevinik Adigüzel, R. On the generalized Askey–Wilson polynomials. Journal of Approximation Theory (2013)
  • Quintero, Niurka R.; Alvarez-Nodarse, Renato; Cuesta, José A. Comment on “Ratchet universality in the presence of thermal noise”. Physical Review E (2013)
  • Casic, Nebojsa; Quintero, Niurka; Alvarez-Nodarse, Renato; Mertens, Franz G.; Jibuti, Levan; Zimmermann, Walter; Fischer, Thomas M. Propulsion efficiency of a dynamic self-assembled helical ribbon. Physical Review Letters (2013)
  • Álvarez-Nodarse, R.; Cardoso, J. L. On the properties of special functions on the linear-type lattices. Journal of Mathematical Analysis and Applications (2013)
  • Álvarez-Nodarse, R.; Durán, A. J.; de los Ríos, A. M. Orthogonal matrix polynomials satisfying second order difference equations. Journal of Approximation Theory (2013)
  • R. Alvarez-Nodarse, J. Petronilho, N.R. Quintero. Spectral properties of certain tridiagonal matrices. Linear Algebra and its Applications (2012)
  • Álvarez-Nodarse, Renato; Sevinik Adigüzel, Rezan; Taseli, Hasan. On the Orthogonality of q-Classical Polynomials of the Hahn Class. Symmetry Integrability and Geometry-Methods and Applications (2012)
  • Álvarez-Nodarse, R.; Sevinik Adigüzel, R. The q-Racah-Krall-type polynomials. Applied Mathematics and Computation (2012)
  • Álvarez-Nodarse, R.; Sevinik Adigüzel, R. On the Krall-type polynomials on q-quadratic lattices. Indagationes Mathematicae. New Series (2011)
  • Niurka R. Quintero, Renato Álvarez-Nodarse, José A. Cuesta. Ratchet effect on a relativistic particle driven by external forces. Journal of Physics A. Mathematical and Theoretical (2011)
  • Álvarez-Nodarse, R. À $\textit{la carte}$ recurrence relations for continuous and discrete hypergeometric functions. SeMA Journal (2011)
  • Quintero, Niurka R.; Cuesta, José A.; Alvarez-Nodarse, Renato. Symmetries shape the current in ratchets induced by a biharmonic driving force. Physical Review E (2010)
  • Cardoso, J. L.; Fernandes, C. M.; Álvarez-Nodarse, R. Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method. Electronic Transactions on Numerical Analysis (2009)
  • Quintero, Niurka R.; Alvarez-Nodarse, R.; Mertens, Franz G. Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility. Physical Review E (2009)
  • Álvarez-Nodarse, R.; Smirnov, Yu. F. Dual properties of orthogonal polynomials of discrete variables associated with the quantum algebra $U_q(su(2))$. Journal of Russian Laser Research (2007)
  • Alfaro, M.; Álvarez-Nodarse, R. A characterization of the classical orthogonal discrete and q-polynomials. Journal of Computational and Applied Mathematics (2007)
  • Álvarez-Nodarse, R.; Atakishiyev, N.M.; Costas-Santos, R.S. Factorization of the hypergeometric-type difference equation on the uniform lattice. Electronic Transactions on Numerical Analysis (2007)

Aportaciones a congresos (3)

  • Rodríguez-Quintero, Niurka; Alvarez-Nodarse, Renato; Cuesta, Jose. The average current in the rocking ratchets. FISES '12 (2012)
  • Alvarez-Nodarse, Renato; Cuesta, Jose; Rodríguez-Quintero, Niurka. El efecto ratchet en la partícula relativista. FISES '12 (2012)
  • Rodríguez-Quintero, Niurka; Alvarez-Nodarse, Renato; Cuesta, Jose;. El principio de Curie en el efecto ratchet inducido por rotura de simetrías temporales. FISES '09 (2009)

LEYENDA

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Listado de Artículos (24)
General approach for dealing with dynamical systems with spatiotemporal periodicities Casado-Pascual, Jesús, Cuesta, José A., Quintero, Niurka R., Alvarez-Nodarse, Renato, Physical Review E 2015 - 2
Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations Álvarez-Nodarse, Renato, Durán, Antonio J., Journal of Mathematical Analysis and Applications 2015 - 1
Paramagnetic colloidal ribbons in a precessing magnetic field R. Alvarez-Nodarse, N. R. Quintero, F. G. Mertens, N. Casic, Th. M. Fischer, Physical Review E 2015 - 0
On linearly related sequences of difference derivatives of discrete orthogonal polynomials Álvarez-Nodarse, R., Petronilho, J., Pinzón-Cortés, N. C., Sevinik-Adıgüzel, R., Journal of Computational and Applied Mathematics 2015 - 1
On the limit of generalized non-standard q-Racah polynomials Alvarez-Nodarse, R., Sevinik Adigüzel, R., Journal of Computational and Applied Mathematics 2014 - 0
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models Alvarez-Nodarse, R., Quintero, N.R., Mertens, F.G., Physical Review E 2014 - 0
Comment on “Ratchet universality in the presence of thermal noise” Quintero, Niurka R., Alvarez-Nodarse, Renato, Cuesta, José A., Physical Review E 2013 - 1
Orthogonal matrix polynomials satisfying second order difference equations Álvarez-Nodarse, R., Durán, A. J., de los Ríos, A. M., Journal of Approximation Theory 2013 - 6
On the properties of special functions on the linear-type lattices Álvarez-Nodarse, R., Cardoso, J. L., Journal of Mathematical Analysis and Applications 2013 - 0
Time-Shift Invariance Determines the Functional Shape of the Current in Dissipative Rocking Ratchets Cuesta, José A., Quintero, Niurka R., Alvarez-Nodarse, Renato, Physical Review X 2013 - 2
On the generalized Askey–Wilson polynomials Álvarez-Nodarse, R., Sevinik Adigüzel, R., Journal of Approximation Theory 2013 - 2
Propulsion efficiency of a dynamic self-assembled helical ribbon Casic, Nebojsa, Quintero, Niurka, Alvarez-Nodarse, Renato, Mertens, Franz G., Jibuti, Levan, Zimmermann, Walter, Fischer, Thomas M. , Physical Review Letters 2013 - 3
On the Orthogonality of q-Classical Polynomials of the Hahn Class Álvarez-Nodarse, Renato, Sevinik Adigüzel, Rezan, Taseli, Hasan, Symmetry Integrability and Geometry-Methods and Applications 2012 - 1
Spectral properties of certain tridiagonal matrices R. Alvarez-Nodarse, J. Petronilho, N.R. Quintero, Linear Algebra and its Applications 2012 - 1
The q-Racah-Krall-type polynomials Álvarez-Nodarse, R., Sevinik Adigüzel, R. , Applied Mathematics and Computation 2012 - 0
On the Krall-type polynomials on q-quadratic lattices Álvarez-Nodarse, R., Sevinik Adigüzel, R., Indagationes Mathematicae. New Series 2011 - 3
Ratchet effect on a relativistic particle driven by external forces Niurka R. Quintero, Renato Álvarez-Nodarse, José A. Cuesta, Journal of Physics A. Mathematical and Theoretical 2011 - 2
À $\textit{la carte}$ recurrence relations for continuous and discrete hypergeometric functions Álvarez-Nodarse, R., SeMA Journal 2011 - 0
Symmetries shape the current in ratchets induced by a biharmonic driving force Quintero, Niurka R., Cuesta, José A., Alvarez-Nodarse, Renato, Physical Review E 2010 - 16
Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility Quintero, Niurka R., Alvarez-Nodarse, R., Mertens, Franz G., Physical Review E 2009 - 0
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method Cardoso, J. L., Fernandes, C. M., Álvarez-Nodarse, R., Electronic Transactions on Numerical Analysis 2009 - 0
Dual properties of orthogonal polynomials of discrete variables associated with the quantum algebra $U_q(su(2))$ Álvarez-Nodarse, R., Smirnov, Yu. F. , Journal of Russian Laser Research 2007 - 0
A characterization of the classical orthogonal discrete and q-polynomials Alfaro, M., Álvarez-Nodarse, R., Journal of Computational and Applied Mathematics 2007 - 4
Factorization of the hypergeometric-type difference equation on the uniform lattice Álvarez-Nodarse, R., Atakishiyev, N.M., Costas-Santos, R.S., Electronic Transactions on Numerical Analysis 2007 - 2


Actividades organizadas

12.12.2017
14.11.2016

Actividades propias

29.06.2015
06.11.2013

LEYENDA

En curso
En depósito
Defendida

Tesis dirigidas en el Programa de Doctorado en Matemáticas (1)

Ana Martínez de los Ríos Orthogonal Matrix Polynomials and Differential, Difference and q-Difference Matrix Operators.