RT Journal Article
T1 On an extension of symmetric coherent pairs of orthogonal polynomials
A1 Delgado, Antonia M.
A1 Marcellán Español, Francisco José
AB Given two symmetric and positive definite linear functionals, W and V, we study the coefficients in the recurrence relation for the system of monic polynomials orthogonal with respect to the second linear functional assuming that the first one is classical and that there exists an algebraic–differential relation between these two families of polynomials. Moreover, we determine this companion linear functional as a rational modification of the classical one.
PB Elsevier
SN 0377-0427
YR 2005
FD 2005-06
LK https://hdl.handle.net/10016/5951
UL https://hdl.handle.net/10016/5951
LA eng
NO 14 pages, no figures.-- MSC2000 codes: Primary 33C45; 42C05.-- Issue title: "Proceedings of the Seventh International Symposium on Orthogonal Polynomials,Special Functions and Applications" (University of Copenhagen, Denmark, Aug 18-22, 2003).
NO MR#: MR2127877 (2006f:33006)
NO Zbl#: Zbl 1077.42016
NO The work of the authors has been supported by Dirección General de Investigación, Ministerio deCiencia y Tecnología of Spain, under Grant BFM 2003–06335–C03–02.
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RD 20 may. 2024