Zeros of classical orthogonal polynomials of a discrete variable
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Data
2013-04-01
Autores
Area, Ivan
Dimitrov, Dimitar K. [UNESP]
Godoy, Eduardo
Paschoa, Vanessa G.
Título da Revista
ISSN da Revista
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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.