Zeros of classical orthogonal polynomials of a discrete variable

Carregando...
Imagem de Miniatura

Data

2013-04-01

Autores

Area, Ivan
Dimitrov, Dimitar K. [UNESP]
Godoy, Eduardo
Paschoa, Vanessa G.

Título da Revista

ISSN da Revista

Título de Volume

Editor

Amer Mathematical Soc

Resumo

In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented.

Descrição

Palavras-chave

Orthogonal polynomials of a discrete variable, Zeros, Charlier polynomials, Kravchuk polynomials, Meixner polynomials, Hahn polynomials, Gram polynomials

Como citar

Mathematics of Computation. Providence: Amer Mathematical Soc, v. 82, n. 282, p. 1069-1095, 2013.