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On the q-polynomials: a distributional study

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URI: https://hdl.handle.net/10016/6094
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(00)00584-7
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2001-10-15
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Elsevier
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Abstract
In this paper we present a unified distributional study of the classical discrete q-polynomials (in the Hahn's sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term recurrence relations, structure relations, etc. Also several characterizations of such q-polynomials are presented.
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40 pages, no figures.-- MSC2000 codes: 33D15, 33D45, 33D90.
MR#: MR1850540 (2003f:33027)
Zbl#: Zbl 0991.33007
Keywords
Orthogonal polynomials, Exponential lattices, q-difference equations, q-Rodrigues formula
Bibliographic citation
Journal of Computational and Applied Mathematics, 2001, vol. 135, n. 2, p. 157-196
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