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On Askey-scheme and -orthogonality, I: A characterization theorem

✍ Scribed by Y. Ben Cheikh; I. Lamiri; A. Ouni

Book ID
104006647
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
600 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

This is the first in a series of papers dealing with generalized hypergeometric d-orthogonal polynomials extending the polynomial families in the Askey-scheme. In this paper, we give a characterization theorem to introduce new examples of generalized hypergeometric d-orthogonal polynomials to be studied in the forthcoming works. For d = 1, we obtain an unification of some known characterization theorems in the orthogonal polynomials theory.

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