Some generating functions for the Laguerre and related polynomials

Authors
Lee, PA Ong, SH Srivastava, HM
Citation
Pa. Lee et al., Some generating functions for the Laguerre and related polynomials, APPL MATH C, 108(2-3), 2000, pp. 129-138
Citations number
18
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
108
Issue
2-3
Year of publication
2000
Pages
129 - 138
Database
ISI
SICI code
0096-3003(20000215)108:2-3<129:SGFFTL>2.0.ZU;2-A
Abstract
The authors investigate (and present generalizations of) several generating functions of the classical Laguerre and related polynomials. One of these generating functions was recently rederived probabilistically by Lee [P.-A, Lee, Bull. Inst. Math. Acad. Sinica 25 (1997) 151-154], who made use of th e theory of a class of probability distributions known as the non-central n egative binomial distribution. Basic (or q-) extensions of the main series identities are also considered. (C) 2000 Elsevier Science Inc. All rights r eserved.