H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 31 Citations 4,709 270 World Ranking 2007 National Ranking 33

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Complex number

His primary areas of study are Orthogonal polynomials, Classical orthogonal polynomials, Jacobi polynomials, Discrete orthogonal polynomials and Mathematical analysis. He interconnects Recurrence relation, Algebra and Monic polynomial in the investigation of issues within Orthogonal polynomials. Francisco Marcellán works in the field of Classical orthogonal polynomials, namely Wilson polynomials.

As a part of the same scientific family, he mostly works in the field of Wilson polynomials, focusing on Laguerre polynomials and, on occasion, Codimension. His research integrates issues of Gegenbauer polynomials and Hahn polynomials in his study of Jacobi polynomials. His Mathematical analysis research is multidisciplinary, relying on both Regularization and Semiclassical physics.

His most cited work include:

  • Classical orthogonal polynomials: A functional approach (115 citations)
  • Darboux transformation and perturbation of linear functionals (103 citations)
  • Orthogonal Polynomials and their Applications (99 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Orthogonal polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials, Pure mathematics and Combinatorics. His Orthogonal polynomials research incorporates themes from Discrete mathematics and Sobolev space. His Classical orthogonal polynomials study integrates concerns from other disciplines, such as Laguerre polynomials and Polynomial matrix.

His research integrates issues of Hahn polynomials, Algebra and Difference polynomials in his study of Discrete orthogonal polynomials. His work carried out in the field of Pure mathematics brings together such families of science as Connection, Matrix, Unit circle, Real line and Polynomial. Francisco Marcellán works mostly in the field of Combinatorics, limiting it down to concerns involving Monic polynomial and, occasionally, Recurrence relation, Interpretation and Order.

He most often published in these fields:

  • Orthogonal polynomials (86.76%)
  • Classical orthogonal polynomials (43.24%)
  • Discrete orthogonal polynomials (39.71%)

What were the highlights of his more recent work (between 2014-2021)?

  • Orthogonal polynomials (86.76%)
  • Pure mathematics (39.71%)
  • Combinatorics (38.82%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Orthogonal polynomials, Pure mathematics, Combinatorics, Matrix and Classical orthogonal polynomials. His Orthogonal polynomials research integrates issues from Polynomial and Sobolev space. His Pure mathematics research is multidisciplinary, incorporating elements of Orthogonality, Connection, Unit circle, Real line and Partial derivative.

He has included themes like Discrete mathematics, Monic polynomial, Connection and Product in his Combinatorics study. His Classical orthogonal polynomials research includes themes of Laguerre polynomials, Polynomial matrix, Symmetric matrix and Difference polynomials. His Jacobi polynomials research is multidisciplinary, relying on both Gegenbauer polynomials and Hahn polynomials.

Between 2014 and 2021, his most popular works were:

  • On Sobolev orthogonal polynomials (66 citations)
  • Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy (31 citations)
  • Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy (31 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Complex number

Francisco Marcellán mainly focuses on Orthogonal polynomials, Matrix, Discrete orthogonal polynomials, Classical orthogonal polynomials and Combinatorics. The concepts of his Orthogonal polynomials study are interwoven with issues in Monic polynomial and Matrix polynomial. His biological study spans a wide range of topics, including Polynomial matrix and Algebra.

Francisco Marcellán combines subjects such as Jacobi polynomials and Difference polynomials with his study of Classical orthogonal polynomials. Francisco Marcellán interconnects Gegenbauer polynomials and Hahn polynomials in the investigation of issues within Jacobi polynomials. His studies deal with areas such as Positive-definite matrix and Product as well as Combinatorics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Classical orthogonal polynomials: A functional approach

F. Marcellán;A. Branquinho;J. Petronilho.
Acta Applicandae Mathematicae (1994)

164 Citations

Orthogonal polynomials on Sobolev spaces: old and new directions

F. Marcellán;M. Alfaro;M. L. Rezola.
Journal of Computational and Applied Mathematics (1993)

164 Citations

Orthogonal Polynomials and their Applications

M. Alfaro;J. S. Dehesa;F. J. Marcellan.
Mathematics of Computation (1988)

152 Citations

Darboux transformation and perturbation of linear functionals

M.I. Bueno;F. Marcellán.
Linear Algebra and its Applications (2004)

122 Citations

On orthogonal polynomials of Sobolev type: algebraic properties and zeros

M. Alfaro;F. Marcellán;M. L. Rezola;A. Ronveaux.
Siam Journal on Mathematical Analysis (1992)

113 Citations

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

F. Marcellan;P. Maroni.
Annali di Matematica Pura ed Applicata (1992)

112 Citations

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

G. López;Francisco Marcellán;Walter Van Assche.
Constructive Approximation (1995)

109 Citations

On Sobolev orthogonal polynomials

Francisco Marcellán;Yuan Xu.
Expositiones Mathematicae (2015)

108 Citations

On orthogonal polynomials with perturbed recurrence relations

F. Marcellan;J. S. Dehesa;A. Ronveaux.
Journal of Computational and Applied Mathematics (1990)

97 Citations

On recurrence relations for Sobolev orthogonal polynomials

W. D. Evans;Lance L. Littlejohn;Francisco Marcellan;Clemens Markett.
Siam Journal on Mathematical Analysis (1995)

93 Citations

Editorial Boards

Journal of Approximation Theory
(Impact Factor: 0.993)

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