On the q-polynomials: a distributional study

Medem, Juan Carlos; Álvarez Nodarse, Renato; Marcellán Español, Francisco José

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On the q-polynomials: a distributional study

Author(s): Medem, Juan Carlos; Álvarez Nodarse, Renato; Marcellán Español, Francisco José

Publisher: Elsevier

Issued date: 2001-10-15

Citation: Journal of Computational and Applied Mathematics, 2001, vol. 135, n. 2, p. 157-196

ISSN: 0377-0427

DOI: 10.1016/S0377-0427(00)00584-7

Sponsor: This work has been partially supported by the European project INTAS-93-219-ext and by the Spanish Dirección General de Enseñanza Superior (DGES) under grant PB-96-0120-C03-01.

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1016/S0377-0427(00)00584-7

Keywords: Orthogonal polynomials , Exponential lattices , q-difference equations , q-Rodrigues formula

URI: http://hdl.handle.net/10016/6094

Rights: © Elsevier

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 rel [+]