Special Issue "Recent Trends on Orthogonal Polynomials: Approximation Theory and Applications"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 1 November 2019

Special Issue Editors

Guest Editor
Prof. Francisco Marcellan

Universidad Carlos III de Madrid, Departamento de Matemáticas, Avenida de la Universidad, 30, 28911, Leganés, Madrid, Spain
Website | E-Mail
Phone: 34-91-6249442
Interests: orthogonal polynomials; moment problems; distribution of zeros; integrable systems; random matrices; stochastic processes; signal theory; quadrature formulas; spectral methods for boundary value problems; Fourier expansions; structured matrices; integral transforms
Guest Editor
Dr. Edmundo Huertas

Universidad de Alcalá (UAH). Dpto. de Física y Matemáticas. Ctra. Madrid-Barcelona, Km. 33,600. Alcalá de Henares, 28805-Madrid, Spain
Website | E-Mail
Interests: orthogonal polynomials; moment problems; distribution of zeros; integrable systems; random matrices; stochastic processes; signal theory; quadrature formulas; spectral methods for boundary value problems; Fourier expansions; structured matrices; integral transforms

Special Issue Information

Dear Colleagues,

In recent years, the theory of orthogonal polynomials has received a great amount of interest because of its wide role in Pure and Applied Mathematics. Orthogonal polynomials are essential tools for the solution of many problems in the spectral theory of differential and difference equations, Painlevé equations (discrete and continuous versions), numerical methods in quadrature on the real line and the unit circle, as well as cubature formulas on multidimensional domains, with applications ranging from Number Theory to Approximation Theory, Combinatorics to Group representation, integrable systems, random matrices, and linear system theory to signal processing.

The aims of the proposed Special Issue are:

  • To show some recent trends in the research on orthogonal polynomials, with a special emphasis on their analytic properties and approximation theory. Different examples of orthogonality (Sobolev, multiple, multivariate, matrix) will be studied, as well as the asymptotic properties of the corresponding sequences of orthogonal polynomials and the behavior of their zeros;
  • To emphasize their impact in Mathematical Physics, mainly in integrable systems and Painlevé equations (discrete and continuous cases), as they are strongly related to the coefficients of three term relation, satisfied by a sequence of orthogonal polynomials and time-depending measures supported on the real line.

Prof. Francisco Marcellan
Dr. Edmundo Huertas
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 850 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Orthogonal polynomials on the real line
  • Orthogonal polynomials on the unit circle
  • Matrix orthogonal polynomials
  • Multiple orthogonal polynomials
  • Multivariate orthogonal polynomials
  • Sobolev orthogonal polynomials
  • Integrable systems
  • Random matrices
  • Quadrature and cubature formulas
  • Rational approximation
  • Approximation with splines
  • Wavelets

Published Papers (1 paper)

View options order results:
result details:
Displaying articles 1-1
Export citation of selected articles as:

Research

Open AccessArticle
A Classification of Symmetric (1, 1)-Coherent Pairs of Linear Functionals
Mathematics 2019, 7(2), 213; https://doi.org/10.3390/math7020213
Received: 27 November 2018 / Revised: 13 February 2019 / Accepted: 15 February 2019 / Published: 25 February 2019
PDF Full-text (444 KB) | HTML Full-text | XML Full-text
Abstract
In this paper, we study a classification of symmetric ( 1 , 1 ) -coherent pairs by using a symmetrization process. In particular, the positive-definite case is carefully described. Full article
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top