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Antonio J. Durán

Antonio J. Durán

D-Index & Metrics

Mathematics

D-Index
31
Citations
3244
World Ranking
3383
National Ranking
81

Overview

Antonio J. Durán is affiliated with the University of Seville in Spain and focuses on research mainly within the disciplines of Mathematics and Physics and Astronomy. Their research contributions span several subfields including Applied Mathematics, Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Algebra and Number Theory, and Education.

Their work addresses a variety of topics, particularly in Mathematical functions and polynomials, Quantum Mechanics and Non-Hermitian Physics, Advanced Mathematical Identities, Nonlinear Waves and Solitons, Matrix Theory and Algorithms, Advanced Mathematical Theories and Applications, and Mathematical Analysis and Transform Methods.

Durán has published extensively, with notable papers such as:

  • Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials, 2021, Journal of Mathematical Analysis and Applications
  • How Campus Space Becomes White Place: Advancing a Spatial Analysis of Whiteness in Higher Education, 2022, Journal of college student development
  • Generalized Bell polynomials, 2024, Journal of Approximation Theory
  • A method for summing Bessel series and a couple of illustrative examples, 2021, Proceedings of the American Mathematical Society

Frequent publication venues for Durán's work include:

  • arXiv (Cornell University)
  • Journal of Approximation Theory
  • Journal of college student development
  • Integral Transforms and Special Functions
  • Journal of Mathematical Analysis and Applications

Collaborative work features several frequent coauthors, among them:

  • Juan Malumbres
  • Mario Pérez
  • Crystal E. Garcia
  • Mónica Rueda
  • Nancy E. Thacker Darrow

The research output demonstrates a focus on mathematical analysis and theoretical methods, often intersecting with physics-related topics. The breadth of subfields and topics suggests a multidisciplinary approach to advancing understanding of complex mathematical and physical phenomena.

Best Publications

  • Orthogonal matrix polynomials and higher-order recurrence relations

    A.J. Durán;W. Van Assche

  • Orthogonal matrix polynomials satisfying second-order differential equations

    Antonio J. Durán;F. Alberto Grünbaum

  • Orthogonal Matrix Polynomials

    Antonio J. Duran;Pedro Lopez-Rodriguez

  • Matrix Inner Product Having a Matrix Symmetric Second Order Differential Operator

    Antonio J. Duran

  • A Generalization of Favard's Theorem for Polynomials Satisfying a Recurrence Relation

    A.J. Duran

  • Markov's Theorem for Orthogonal Matrix Polynomials

    Antonio J. Duran

  • On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures

    Antonio J. Duran

  • Ratio asymptotics for Orthogonal Matrix Polynomials

    Antonio J. Duran

  • Full length article: Exceptional Meixner and Laguerre orthogonal polynomials

    Antonio J. Durán

  • Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, I

    Antonio J. Durán;F. Alberto Grünbaum

  • The Stieltjes moments problem for rapidly decreasing functions

    Antonio J. Duran

  • Exceptional Charlier and Hermite orthogonal polynomials

    Antonio J. Durán

  • Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials

    Antonio J. Durán

  • A survey on orthogonal matrix polynomials satisfying second order differential equations

    Antonio J. Durán;F. Alberto Grünbaum

  • Full length article: Using D-operators to construct orthogonal polynomials satisfying higher order difference or differential equations

    Antonio J. Durán

  • The index of determinacy for measures and the ²-norm of orthonormal polynomials

    Christian Berg;Antonio J. Duran

  • Orthogonal Polynomials Satisfying Higher-Order Difference Equations

    Antonio J. Durán

  • Exceptional Hahn and Jacobi orthogonal polynomials

    Antonio J. Durán

  • Orthogonal matrix polynomials, scalar-type Rodrigues' formulas and Pearson equations

    Antonio J. Durán;F. Alberto Grünbaum

  • A characterization for a class of weight matrices with orthogonal matrix polynomials satisfying second-order differential equations

    Antonio J. Durán;F. Alberto Grünbaum

  • Some examples of orthogonal matrix polynomials satisfying odd order differential equations

    Antonio J. Durán;Manuel D. de la Iglesia

  • Second-Order Differential Operators Having Several Families of Orthogonal Matrix Polynomials as Eigenfunctions

    Antonio J. Durán;Manuel D. de la Iglesia

  • Orthogonal matrix polynomials and higher order recurrence relations

    Antonio J. Durán;Walter Van Assche

Frequent Co-Authors

Christian Berg
Christian Berg University of Copenhagen
F. Alberto Grünbaum
F. Alberto Grünbaum University of California, Berkeley
Edward B. Saff
Edward B. Saff Vanderbilt University
Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette

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