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-orthogonality of Little -Laguerre type polynomials

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

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
319 KB
Volume
236
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, we solve a characterization problem in the context of the d-orthogonality. That allows us, on one hand, to provide a q-analog for the d-orthogonal polynomials of Laguerre type introduced by the first author and Douak, and on the other hand, to derive new L q -classical d-orthogonal polynomials generalizing the Little q-Laguerre polynomials. Various properties of the resulting basic hypergeometric polynomials are singled out. For d = 1, we obtain a characterization theorem involving, as far as we know, new L q -classical orthogonal polynomials, for which we give the recurrence relation and the difference equation.

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