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- Chain sequences and symmetric generalized orthogonal polynomials
- Universidade Estadual Paulista (UNESP)
- 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.
- Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 143, n. 1, p. 95-106, 2002.
- Elsevier B.V.
- Orthogonal polynomials
- chain sequences
- continued fractions
- Acesso aberto
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