Chain sequences and symmetric generalized orthogonal polynomials
Loading...
External sources
External sources
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Type
Article
Access right
Acesso aberto
External sources
External sources
Abstract
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.
Description
Keywords
Orthogonal polynomials, chain sequences, continued fractions
Language
English
Citation
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 143, n. 1, p. 95-106, 2002.
