Name: Discrete Semiclassical Orthogonal Polynomials of Class 2
Keywords: Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C47

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2021Embargo end date: 01 Jan 2019 English Publisher:Springer International Publishing

Authors: Dominici, Diego; Español, Francisco Marcellán;

doi: 10.1007/978-3-030-56190-1_5 , 10.48550/arxiv.1904.11958

arXiv: 1904.11958

Discrete Semiclassical Orthogonal Polynomials of Class 2

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Abstract

In this contribution, discrete semiclassical orthogonal polynomials of class $s\leq2$ are studied. By considering all possible solutions of the Pearson equation, we obtain the canonical families in each class. We also consider limit relations between these and other families of orthogonal polynomials.

67 pages

Related Organizations

Carlos III University of Madrid
Spain
Johannes Kepler University of Linz
Austria

Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C47

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