Bracciali, Cleonice Fátima [UNESP]Dimitrov, D. K.Ranga, A. S.2014-05-202014-05-202002-06-01Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 143, n. 1, p. 95-106, 2002.0377-0427http://hdl.handle.net/11449/36969in 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.95-106engOrthogonal polynomialschain sequencescontinued fractionsArtigo10.1016/S0377-0427(01)00499-XWOS:000176146300007Acesso abertoWOS000176146300007.pdf8300322452622467168126771697125335871233097456100000-0002-6823-4204