instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
imus-logo
Antonio José Durán Guardeño
Miembro ordinario
duran@us.es
http://euler.us.es/~opap/antonio.htm
Situación profesional: Catedrático
Despacho: Facultad de Matemáticas
Departamento: Análisis Matemático
Teléfono: 954557980

Proyectos de la JJAA

P09-FQM-4643 Ortogonalidad, Aproximación y Complejidad Cuántica: Teoría y Aplicaciones Científicas y Tecnológicas Responsable

Proyectos del Plan Nacional I+D+i

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

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

FQM262 Teoria de la Aproximación Responsable


Listado de Artículos (37)

  • Durán, A.J., Arvesú, J.. Casorati type determinants of some q-classical orthogonal polynomials. Proceedings of the American Mathematical Society (2016)
  • Durán, A.J., Pérez, M.. Admissibility condition for exceptional Laguerre polynomials. Journal of Mathematical Analysis and Applications (2015)
  • Durán, A.J., de la Iglesia, M.D.. Differential equations for discrete Laguerre-Sobolev orthogonal polynomials. Journal of Approximation Theory (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)
  • Durán, Antonio J.; Pérez, Mario; Varona, Juan L.. Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials. Experimental Mathematics (2015)
  • Durán, A.J.. Constructing bispectral dual Hahn polynomials. Journal of Approximation Theory (2015)
  • Durán, A.J., de la Iglesia, M.D.. Constructing Krall-Hahn orthogonal polynomials. Journal of Mathematical Analysis and Applications (2015)
  • Durán, A.J.. Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials. Integral Transforms and Special Functions (2015)
  • Durán, Antonio J.; de los Ríos, Ana M.. The convex cone of weight matrices associated to a second-order matrix difference operator.. Integral Transforms and Special Functions. An International Journal (2014)
  • Durán, Antonio J.. Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities.. Journal of Combinatorial Theory. Series A (2014)
  • Durán, Antonio J.. Exceptional Charlier and Hermite orthogonal polynomials. Journal of Approximation Theory (2014)
  • Durán Guardeño, Antonio José.. Symmetries for Casorati determinants of classical discrete orthogonal polynomials. Proceedings of the American Mathematical Society (2014)
  • Durán, Antonio J.; Sánchez-Canales, Vanesa. Rodrigues' formulas for orthogonal matrix polynomials satisfying second-order difference equations.. Integral Transforms and Special Functions. An International Journal (2014)
  • Antonio J. Durán; Mario Pérez; Juan L. Varona. The Misfortunes of a Trio of Mathematicians Using Computer Algebra Systems. Can We Trust in Them?. Notices of the AMS (2014)
  • Durán, A.J., de la Iglesia, M.D. Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk. Constructive Approximation (2014)
  • Durán, Antonio J.. Exceptional Meixner and Laguerre orthogonal polynomials. Journal of Approximation Theory (2014)
  • Durán, Antonio J.; Sánchez-Canales, Vanesa. Orthogonal matrix polynomials whose differences are also orthogonal. Journal of Approximation Theory (2014)
  • Durán Guardeño, A.J.. Using D-operators to construct orthogonal polynomials satisfying higher order difference or differential equations. Journal of Approximation Theory (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)
  • Antonio J. Durán, Nikta Shayanfar. Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS (2013)
  • Durán, Antonio J.. The algebra of difference operators associated to a family of orthogonal polynomials. JOURNAL OF APPROXIMATION THEORY (2012)
  • Durán, Antonio J.. Orthogonal polynomials satisfying higher order difference equations. CONSTRUCTIVE APPROXIMATION (2012)
  • J. Borrego, M. Castro , A. Durán. Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS (2012)
  • Antonio José Durán Guardeño, Christian Berg. Fibonacci Numbers, Euler Two Periodic Continuous Fractions and Moment sequences. FIBONACCI QUARTERLY (2011)
  • Antonio José Durán Guardeño. Rodrigues' Formulas for Orthogonal Matrix Polynomials Satisfying Higher Order Differential Equations. EXPERIMENTAL MATHEMATICS (2011)
  • Durán, Antonio J.. A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations. JOURNAL OF APPROXIMATION THEORY (2011)
  • Antonio José Durán Guardeño. Rodrigues' Formulas for Orthogonal Matrix Polynomials Satisfying Second Order Differential equations. International Mathematics Research Notices (2010)
  • Antonio José Durán Guardeño, F. Alberto Grunbaum. Matrix Differential Equations and Scalar Polynomials Satisfying Higher Order Recursions. Journal of Mathematical Analysis and Applications (2009)
  • Antonio José Durán Guardeño. Generating Orthogonal Matrix Polynomials Satisfying Second Order differential Equations From a Trio of Triangular Matrices. Journal of Approximation Theory (2009)
  • Antonio José Durán Guardeño. A Method to Find Weight Matrices Having symmetric Second Order Differential Operators with Matrix Leading Coefficient. Constructive Approximation (2009)
  • Manuel Domínguez de la Iglesia, Antonio José Durán Guardeño. Some Examples of Orthogonal Matrix Polynomials Satisfying Odd Order Differential Equations. Journal of Approximation Theory (2008)
  • Manuel Domínguez de la Iglesia, Antonio José Durán Guardeño. Second-Order Differential Operators Having Several Families of Orthogonal Matrix Polynomials As Eigenfunctions. International Mathematics Research Notices (2008)
  • Antonio José Durán Guardeño, Christian Berg. Iteration of the Rational Function Z-1/Z and a Hausdorff Moment Sequence. Expositiones Mathematicae (2008)
  • Christian Berg, Antonio José Durán Guardeño. The Fixed Point for a Transformation of Hausdorff Moment Sequences and Iteration of a Rational Function. Mathematica Scandinavica (2008)
  • Durán Guardeño, A.J.. La humanidad de los números. Arbor (2007)
  • Antonio José Durán Guardeño, Pedro López Rodríguez. Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, II. Constructive Approximation (2007)
  • Antonio José Durán Guardeño, F. Alberto Grunbaum. Matrix Orthogonal Polynomials Satisfying Second-Order Differential Equations: Coping Without Help From Group Representation Theory. Journal of Approximation Theory (2007)

Libros y capítulos (11)

  • Durán Guardeño, A.J.. El ojo de Shiva, el sueño de Mahoma, Simbad... y los números. Destino (2012)
  • Durán Guardeño, A.J.. La verdad está en el límite. RBA (2011)
  • Durán Guardeño, A.J.. La poesía de los números. RBA (2011)
  • Borrego, J.; Castro, M.; Durán, A.. Orthogonal Matrix Polynomials satisfying differential equations with recurrence coefficients having non scalar limits. (2011)
  • Durán Guardeño, A.J., Curbera, Guillermo. Cantor y el infinito. Sociedad Andaluza de Educación Matemática Thales (2011)
  • Castro, M.; Durán, A.. Asymptotic behaviour for orthogonal matrix polynomials with unbounded recurrence coefficients. (2009)
  • Durán Guardeño, A.J.. Pasiones, piojos, dioses... y matemáticas. Destino (2009)
  • Durán Guardeño, A.J.. Cauchy, hijo rebelde de la Revolución. Nivola (2009)
  • Durán Guardeño, A.J.. La ciencia en Andalucía. (2008)
  • Durán Guardeño, A.J.. Newton. Vida, pensamiento y obra. Planeta DeAgostini (2008)
  • Durán Guardeño, A.J.. Las matemáticas y sus máscaras. (2008)

Aportaciones a congresos (26)

  • Durán Guardeño, A.J.. A bispectral approach to exceptional polynomials. CRM-ICMAT Workshop on Exceptional Orthogonal polynomials and exact solutions in Mathematical Physics (2014)
  • Durán Guardeño, A.J.. Krall and exceptional discrete polynomials. International Conference on Orthogonal Polynomials, Integrable Systems and Their Applications (2014)
  • Durán Guardeño, A.J.. Extending Askey tableau by the inclusion of Krall and exceptional polynomials. Foundations of Computational Mathematics 2014 (2014)
  • Durán Guardeño, A.J.. Using classical discrete polynomials to improve the knowledge of exceptional Hermite, Laguerre and Jacobi polynomials. IUMA day On Special Functions and Physical Models II (2014)
  • Durán Guardeño, A.J.. Expanding Askey tableau by the inclusion of bispectral and exceptional polynomials. Constructive Approximation-2014 (2014)
  • Durán Guardeño, A.J.. Beyond the classics. Cuarto encuentro iberoamericano de polinomios ortogonales y sus aplicaciones (2014)
  • Durán Guardeño, A.J.. Exploring Krall Paradise. 12th International Symposium on Orthogonal Polynomials, special functions and applications (2013)
  • Durán Guardeño, A.J.. Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities. ILAS-2013 (2013)
  • Sánchez-Canales, Vanesa; Durán, Antonio J.. Orthogonal matrix polynomials whose di. 12th International Symposium on Orthogonal Polynomials, Special Functions and Applications (2013)
  • Durán Guardeño, A.J.. Variado de operadores al aroma de ortogonalidad. Workshop on Generalized Special Functions of Mathematical Physics (2012)
  • Durán Guardeño, A.J.. Rodrigues' formula for Orthogonal matrix polynomials satisfying second order differential equations. Workshop on potential theory (2012)
  • Durán Guardeño, A.J.. Non-linear transformation of moment sequences. Orthogonal Polynomials and Special Functions: a Complex Analytic Perspective (2012)
  • Durán Guardeño, A.J.. Rodrigues' formula for Orthogonal matrix polynomials satisfying higher order differential equations. Congreso del Centenario de la Real Sociedad Matemática Española (2011)
  • Castro, M.; Durán, A.; Borrego, J.. On a new class of matrix orthogonal polynomials satisfying second order differential equations. Congreso Centenario de la RSME 2011 (2011)
  • Durán Guardeño, A.J.. Rodrigues' formula for Orthogonal matrix polynomials satisfying second order differential equations. International Conference on Asymptotics and Special Functions (2011)
  • Borrego, J.; Castro, M.; Durán, A.. Orthogonal Matrix Polynomials satisfying differential equations with recurrence coefficients having non scalar limits. 11 th Symposium on Orthogonal Polynomials, Special Functions and Applications, OPSFA 11 (2011)
  • Durán Guardeño, A.J.. Differential properties of orthogonal matrix polynomials. International Congress of Mathematician (2010)
  • Castro, M.; Durán, A.. Asymptotic behaviour for orthogonal matrix polynomials with unbounded recurrence coefficients. Orthogonal polynomials, special functions and applications, OPFSA 10 (2009)
  • Durán Guardeño, A.J.. How far is matrix orthogonality from scalar orthogonality?. 10th International Symposium on Orthogonal Polynomials, Special Functions and Applications (2009)
  • Durán Guardeño, A.J.. The convex cone of weight matrices associated with a symmetric second order differential operator: some examples. Workshop on Orthogonal Polynomials and Special functions (dedicated to Walter van Assche) (2008)
  • Durán Guardeño, A.J.. Orthogonal matrix polynomials which are eigenfunctions of differential operators. International Workshop on Operator Theory and Applications 2008 (2008)
  • Durán Guardeño, A.J.. Orthogonal matrix polynomials which are eigenfunctions of differential operators. International Workshop on Orthogonal polynomials 2008 (60th anniversary prof. López Lagomasino) (2008)
  • Durán Guardeño, A.J.. Orthogonal matrix polynomials which are eigenfunctions of differential operators. Special Functions, Information Theory and Mathematical Physics (60th anniversary prof. Sánchez Dehesa) (2007)
  • Durán Guardeño, A.J.. Orthogonal matrix polynomials which are eigenfunctions of differential operators. Harmonic Analysis and orthogonal systems (2007)
  • Durán Guardeño, A.J.. Polinomios ortogonales matriciales. Jornadas sobre polinomios ortogonales (60 aniversario prof. Manuel Alfaro) (2007)
  • Durán Guardeño, A.J.. Orthogonal matrix polynomials, differential equations and operator algebras. 9th European Workshop on Applications and Generalizations of Complex Analysis (2007)

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Listado de Artículos (37)
Casorati type determinants of some q-classical orthogonal polynomials Durán, A.J, Arvesú, J., Proceedings of the American Mathematical Society 2016 - 0
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
Constructing bispectral dual Hahn polynomials Durán, A.J., Journal of Approximation Theory 2015 - 2
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials Durán, A.J., Integral Transforms and Special Functions 2015 - 3
Admissibility condition for exceptional Laguerre polynomials Durán, A.J., Pérez, M., Journal of Mathematical Analysis and Applications 2015 - 2
Differential equations for discrete Laguerre-Sobolev orthogonal polynomials Durán, A.J., de la Iglesia, M.D., Journal of Approximation Theory 2015 - 3
Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials Durán, Antonio J., Pérez, Mario, Varona, Juan L., Experimental Mathematics 2015 - 0
Constructing Krall-Hahn orthogonal polynomials Durán, A.J., de la Iglesia, M.D., Journal of Mathematical Analysis and Applications 2015 - 0
Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities. Durán, Antonio J., Journal of Combinatorial Theory. Series A 2014 - 4
Rodrigues' formulas for orthogonal matrix polynomials satisfying second-order difference equations. Durán, Antonio J, Sánchez-Canales, Vanesa, Integral Transforms and Special Functions. An International Journal 2014 - 0
Exceptional Meixner and Laguerre orthogonal polynomials Durán, Antonio J., Journal of Approximation Theory 2014 - 4
Symmetries for Casorati determinants of classical discrete orthogonal polynomials Durán Guardeño, Antonio José., Proceedings of the American Mathematical Society 2014 - 3
Orthogonal matrix polynomials whose differences are also orthogonal Durán, Antonio J, Sánchez-Canales, Vanesa, Journal of Approximation Theory 2014 - 3
The convex cone of weight matrices associated to a second-order matrix difference operator. Durán, Antonio J., de los Ríos, Ana M, Integral Transforms and Special Functions. An International Journal 2014 - 0
Exceptional Charlier and Hermite orthogonal polynomials Durán, Antonio J., Journal of Approximation Theory 2014 - 5
The Misfortunes of a Trio of Mathematicians Using Computer Algebra Systems. Can We Trust in Them? Antonio J. Durán, Mario Pérez, Juan L. Varona, Notices of the AMS 2014 - 0
Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk Durán, A.J.,, de la Iglesia, M.D, Constructive Approximation 2014 - 4
Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights Antonio J. Durán, Nikta Shayanfar, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 2013 - 0
Using D-operators to construct orthogonal polynomials satisfying higher order difference or differential equations Durán Guardeño, A.J., Journal of Approximation Theory 2013 - 8
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
The algebra of difference operators associated to a family of orthogonal polynomials Durán, Antonio J., JOURNAL OF APPROXIMATION THEORY 2012 - 6
Orthogonal polynomials satisfying higher order difference equations Durán, Antonio J., CONSTRUCTIVE APPROXIMATION 2012 - 12
Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits J. Borrego, M. Castro , A. Durán, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 2012 - 2
Fibonacci Numbers, Euler Two Periodic Continuous Fractions and Moment sequences Antonio José Durán Guardeño, Christian Berg, FIBONACCI QUARTERLY 2011 - 0
Rodrigues' Formulas for Orthogonal Matrix Polynomials Satisfying Higher Order Differential Equations Antonio José Durán Guardeño, EXPERIMENTAL MATHEMATICS 2011 - 4
A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations Durán, Antonio J., JOURNAL OF APPROXIMATION THEORY 2011 - 0
Rodrigues' Formulas for Orthogonal Matrix Polynomials Satisfying Second Order Differential equations Antonio José Durán Guardeño, International Mathematics Research Notices 2010 - 4
A Method to Find Weight Matrices Having symmetric Second Order Differential Operators with Matrix Leading Coefficient Antonio José Durán Guardeño, Constructive Approximation 2009 - 11
Matrix Differential Equations and Scalar Polynomials Satisfying Higher Order Recursions Antonio José Durán Guardeño, F. Alberto Grunbaum, Journal of Mathematical Analysis and Applications 2009 - 2
Generating Orthogonal Matrix Polynomials Satisfying Second Order differential Equations From a Trio of Triangular Matrices Antonio José Durán Guardeño, Journal of Approximation Theory 2009 - 4
Iteration of the Rational Function Z-1/Z and a Hausdorff Moment Sequence Antonio José Durán Guardeño, Christian Berg, Expositiones Mathematicae 2008 - 1
The Fixed Point for a Transformation of Hausdorff Moment Sequences and Iteration of a Rational Function Christian Berg, Antonio José Durán Guardeño, Mathematica Scandinavica 2008 - 1
Some Examples of Orthogonal Matrix Polynomials Satisfying Odd Order Differential Equations Manuel Domínguez de la Iglesia, Antonio José Durán Guardeño, Journal of Approximation Theory 2008 - 11
Second-Order Differential Operators Having Several Families of Orthogonal Matrix Polynomials As Eigenfunctions Manuel Domínguez de la Iglesia, Antonio José Durán Guardeño, International Mathematics Research Notices 2008 - 9
La humanidad de los números Durán Guardeño, A.J., Arbor 2007 - 0
Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, II Antonio José Durán Guardeño, Pedro López Rodríguez, Constructive Approximation 2007 - 0
Matrix Orthogonal Polynomials Satisfying Second-Order Differential Equations: Coping Without Help From Group Representation Theory Antonio José Durán Guardeño, F. Alberto Grunbaum, Journal of Approximation Theory 2007 - 0


Actividades organizadas

29.11.2017
23.11.2017
14.11.2017
07.11.2017
14.11.2016

Actividades propias

04.10.2017
09.11.2016
11.11.2014

LEYENDA

En curso
En depósito
Defendida

Tesis dirigidas en el Programa de Doctorado en Matemáticas (2)

Vanesa Sánchez Canales Orthogonal Matrix Polynomials with Orthogonal Differences, Rodrigues' Formulas and Related Subjects
Ana Martínez de los Ríos Orthogonal Matrix Polynomials and Differential, Difference and q-Difference Matrix Operators.