Some generalized hypergeometric d-orthogonal polynomial sets |
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| Authors: | Y Ben Cheikh |
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| Institution: | a Département de Mathématiques, Faculté des Sciences de Monastir, 5019 Monastir, Tunisia
b Institut préparatoire aux études d'ingénieur de Monastir, 5019 Monastir, Tunisia |
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| Abstract: | In this paper, we characterize the d-orthogonal polynomial sets given by their explicit expressions in a specific basis. As application, we consider the generalized hypergeometric case to characterize d-orthogonal polynomial sets of Laguerre type, Meixner type, Meixner-Pollaczek type, Krawtchouk type, continuous dual Hahn type, and dual Hahn type. For d=1, we obtain a unification of some characterization theorems in the orthogonal polynomials theory. |
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| Keywords: | Generalized hypergeometric polynomials d-Orthogonal polynomials Continuous dual Hahn polynomials Dual Hahn polynomials Meixner polynomials Meixner-Pollaczek polynomials Krawtchouk polynomials Laguerre polynomials |
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