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Francisco Marcellán

Francisco Marcellán

D-Index & Metrics

Mathematics

D-Index
35
Citations
5892
World Ranking
2754
National Ranking
52

Overview

Francisco Marcellán is affiliated with Carlos III University of Madrid in Spain and has an extensive publication record in the fields of mathematics and physics. Their research focuses primarily on applied mathematics, computational theory and mathematics, with contributions also to atomic and molecular physics and optics, as well as statistical and nonlinear physics and numerical analysis.

The main topics addressed in their work include:

  • Mathematical functions and polynomials
  • Matrix theory and algorithms
  • Quantum mechanics and non-Hermitian physics
  • Iterative methods for nonlinear equations
  • Nonlinear waves and solitons
  • Fractional differential equations solutions
  • Electromagnetic scattering and analysis

Marcellán's recent publications demonstrate a focus on orthogonal polynomials, transformations, and numerical methods, with papers such as:

  • "Characterizations of the Symmetric $$T_{(\theta, q)}$$-Classical Orthogonal q-Polynomials," 2022, Mediterranean Journal of Mathematics
  • "Matrix biorthogonal polynomials on the real line: Geronimus transformations," 2022, e-Archivo (Carlos III University of Madrid)
  • "Associated orthogonal polynomials of the first kind and Darboux transformations," 2021, Journal of Mathematical Analysis and Applications
  • "POLINOMIOS ORTOGONALES NO ESTÁNDAR. APLICACIONES EN ANÁLISIS NUMÉRICO Y TEORÍA DE LA APROXIMACIÓN," 2023, Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales
  • "An extension of a mixed interpolation-regression method using zeros of orthogonal polynomials," 2024, Journal of Computational and Applied Mathematics

The frequent co-authors in Marcellán's work include Juan Carlos García-Ardila, Diego Dominici, Federico Nudo, Edmundo J. Huertas, and Francesco Dell'Accio, indicating collaboration across a range of topics related to their main research areas.

Marcellán has contributed to book publications with notable titles including:

  • "Orthogonal Polynomials and Linear Functionals," published by EMS series of lectures in mathematics, 2021
  • "Orthogonal Polynomials: Current Trends and Applications," published by Springer International Publishing, 2021

The primary publication venues for their work include:

  • arXiv (Cornell University)
  • Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales
  • Mediterranean Journal of Mathematics
  • Journal of Mathematical Analysis and Applications
  • Numerical Algorithms

Best Publications

  • On Sobolev orthogonal polynomials

    Francisco Marcellán;Yuan Xu

  • Classical orthogonal polynomials: A functional approach

    F. Marcellán;A. Branquinho;J. Petronilho

  • Orthogonal polynomials on Sobolev spaces: old and new directions

    F. Marcellán;M. Alfaro;M. L. Rezola

  • Orthogonal Polynomials and their Applications

    M. Alfaro;J. S. Dehesa;F. J. Marcellan

  • Darboux transformation and perturbation of linear functionals

    M.I. Bueno;F. Marcellán

  • On orthogonal polynomials of Sobolev type: algebraic properties and zeros

    M. Alfaro;F. Marcellán;M. L. Rezola;A. Ronveaux

  • Sur l'adjonction d'une masse de Dirac á une forme régulière et semi-classique

    F. Marcellan;P. Maroni

  • RELATIVE ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO A DISCRETE SOBOLEV INNER PRODUCT

    G. López;F. Marcellán;W. Van Assche

  • On orthogonal polynomials with perturbed recurrence relations

    F. Marcellan;J. S. Dehesa;A. Ronveaux

  • On recurrence relations for Sobolev orthogonal polynomials

    W. D. Evans;Lance L. Littlejohn;Francisco Marcellan;Clemens Markett

  • On a class of polynomials orthogonal with respect to a discrete Sobolev inner product

    F. Marcellan;A. Ronveaux

  • A distributional study of discrete classical orthogonal polynomials

    A. G. García;F. Marcellán;L. Salto

  • Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials

    David Gómez-Ullate;Francisco Marcellán;Robert Milson

  • Relative Asymptotics for Orthogonal Polynomials with a Sobolev Inner Product

    F. Marcellan;W. Vanassche

  • Orthogonal Polynomials and Special Functions: Computation and Applications

    Francisco J. Marcellan;Walter van Assche

  • Orthogonal polynomials and coherent pairs: the classical case

    F. Marcellán;J. Petronilho

  • Asymptotics and Zeros of Sobolev Orthogonal Polynomials on Unbounded Supports

    Francisco Marcellán;Juan José Moreno Balcázar;Juan José Moreno Balcázar

  • On the “Favard theorem” and its extensions

    Francisco Marcellán;Renato Álvarez-Nodarse;Renato Álvarez-Nodarse

  • Encyclopaedia of Mathematics, Supplement III

    S. S. Abhyankar;V. Abramov;A. Adem;L. Aizenberg

  • Orthogonal Polynomials and Special Functions

    Francisco Marcellán;Walter Van Assche

  • Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product

    G. López;Francisco Marcellán;Walter Van Assche

Frequent Co-Authors

Yuan Xu
Yuan Xu University of Oregon
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Jesús S. Dehesa
Jesús S. Dehesa University of Granada
Lothar Reichel
Lothar Reichel Kent State University
Walter Gautschi
Walter Gautschi Purdue University West Lafayette
Raytcho Lazarov
Raytcho Lazarov Texas A&M University

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