Name: From Krall discrete orthogonal polynomials to Krall polynomials
Creator: Durán, Antonio J.
Keywords: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), classical discrete polynomials, Krall polynomials, Askey scheme, Mathematics - Classical Analysis and ODEs, 13. Climate action, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C45, 42C05, 33E30, classical polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2017Embargo end date: 01 Jan 2016 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 450, pages 888-900 (issn: 0022-247X,

Authors: Durán, Antonio J.;

doi: 10.1016/j.jmaa.2017.01.063 , 10.48550/arxiv.1603.05041

arXiv: 1603.05041

From Krall discrete orthogonal polynomials to Krall polynomials

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Abstract

We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to the classical polynomials.

Related Organizations

University of Seville
Spain

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), classical discrete polynomials, Krall polynomials, Askey scheme, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C45, 42C05, 33E30, classical polynomials, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

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