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On an extension of symmetric coherent pairs of orthogonal polynomials

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URI: https://hdl.handle.net/10016/5951
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.02.026
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extension_marcellan_jcam_2005_ps.pdf (509.69 KB)
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2005-06
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Elsevier
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Abstract
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.
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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).
MR#: MR2127877 (2006f:33006)
Zbl#: Zbl 1077.42016
Keywords
Orthogonal polynomials, Linear functionals, Symmetric linear functionals, Sobolev inner product
Bibliographic citation
Journal of Computational and Applied Mathematics, 2005, vol. 178, n. 1-2, p. 155-168
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