World's Best Scientists 2026 revealed!
Francisco Marcellán

Francisco Marcellán

D-Index & Metrics

Mathematics

D-Index
35
Citations
5892
World Ranking
2755
National Ranking
52

Francisco Marcellán publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Francisco Marcellán sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 352 publications — 91st percentile

91% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Francisco Marcellán D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Francisco Marcellán sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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