Chain sequences and symmetric generalized orthogonal polynomials
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
---|---|
Data(s) |
20/05/2014
20/05/2014
01/06/2002
|
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. |
Formato |
95-106 |
Identificador |
http://dx.doi.org/10.1016/S0377-0427(01)00499-X Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 143, n. 1, p. 95-106, 2002. 0377-0427 http://hdl.handle.net/11449/36969 10.1016/S0377-0427(01)00499-X WOS:000176146300007 WOS000176146300007.pdf |
Idioma(s) |
eng |
Publicador |
Elsevier B.V. |
Relação |
Journal of Computational and Applied Mathematics |
Direitos |
openAccess |
Palavras-Chave | #Orthogonal polynomials #chain sequences #continued fractions |
Tipo |
info:eu-repo/semantics/article |