Some classical multiple orthogonal polynomials

Preprint

21 March 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0103131

Abstract

Recently there has been a renewed interest in an extension of the notion of orthogonal polynomials known as multiple orthogonal polynomials. This notion comes from simultaneous rational approximation (Hermite-Pade approximation) of a system of several functions. We describe seven families of multiple orthogonal polynomials which have he same flavor as the very classical orthogonal polynomials of Jacobi, Laguerre and Hermite. We also mention some open research problems and some applications.

Keywords

MULTIPLE ORTHOGONAL POLYNOMIALS
ORTHOGONAL POLYNOMIALS
POLYNOMIALS RECENTLY
CLASSICAL MULTIPLE
RENEWED INTEREST
APPROXIMATION
HERMITE

All Related Versions

Version 1, 2001-03-21, ArXiv
Published version: Journal of Computational and Applied Mathematics, 127 (1-2), 317.

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