Título | Zeros of polynomials orthogonal with respect to a signed weight |
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Autores | Atia, M. J. , Benabdallah, M. , COSTAS SANTOS, ROBERTO SANTIAGO |
Publicación externa | Si |
Medio | INDAGATIONES MATHEMATICAE-NEW SERIES |
Alcance | Article |
Naturaleza | Científica |
Cuartil JCR | 4 |
Cuartil SJR | 3 |
Impacto JCR | 0.206 |
Impacto SJR | 0.354 |
Web | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84856094359&doi=10.1016%2fj.indag.2011.09.011&partnerID=40&md5=39047033df151458f6fc583053801341 |
Fecha de publicacion | 01/03/2012 |
ISI | 000300811300004 |
Scopus Id | 2-s2.0-84856094359 |
DOI | 10.1016/j.indag.2011.09.011 |
Abstract | In this paper we consider the monic polynomial sequence (P-n(alpha,q) (x)) that is orthogonal on [-1, 1] with respect to the weight function x(2q+1)(1 - x(2))(alpha)(1 - x), alpha > -1, q is an element of N; we obtain the coefficients of the tree-term recurrence relation (TTRR) by using a different method from the one derived in Atia et al. (2002) [2]; we prove that the interlacing property does not hold properly for (P-n(alpha,q) (x)); and we also prove that, if x(n,n)(alpha+i,q+j) is the largest zero of P-n(alpha+i,q+j) (x), x(2n-2j,2n-2j)(alpha+j,q+j) < x(2n-2i,2n-2i)(alpha+i,q+i) 0 <= i < j <= n - 1. Crown Copyright (C) 2011 Published by Elsevier B.V. on behalf of Royal Netherlands Academy of Arts and Sciences. All rights reserved. |
Palabras clave | Zeros; Real-rooted polynomials; Generalized Jacobi polynomials; Generalized Gegenbauer polynomials |
Miembros de la Universidad Loyola |