Chain sequences and symmetric generalized orthogonal polynomials

Carregando...
Imagem de Miniatura

Data

2002-06-01

Orientador

Coorientador

Pós-graduação

Curso de graduação

Título da Revista

ISSN da Revista

Título de Volume

Editor

Elsevier B.V.

Tipo

Artigo

Direito de acesso

Acesso abertoAcesso Aberto

Resumo

in this paper, we derive an explicit expression for the parameter sequences of a chain sequence in terms of the corresponding orthogonal polynomials and their associated polynomials. We use this to study the orthogonal polynomials K-n((lambda.,M,k)) associated with the probability measure dphi(lambda,M,k;x), which is the Gegenbauer measure of parameter lambda + 1 with two additional mass points at +/-k. When k = 1 we obtain information on the polynomials K-n((lambda.,M)) which are the symmetric Koornwinder polynomials. Monotonicity properties of the zeros of K-n((lambda,M,k)) in relation to M and k are also given. (C) 2002 Elsevier B.V. B.V. All rights reserved.

Descrição

Idioma

Inglês

Como citar

Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 143, n. 1, p. 95-106, 2002.

Itens relacionados

Financiadores