Some generating functions for the Laguerre and related polynomials

被引：3
|
作者：
Lee, PA
Ong, SH
Srivastava, HM [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Univ Telekom, Fac Informat Technol, Melaka 75450, Malaysia
[3] Univ Malaya, Dept Math, Kuala Lumpur 50603, Malaysia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 108卷 / 2-3期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Laguerre polynomials; binomial distribution; Bessel polynomials; Jacobi polynomials; hypergeometric and basic (or q-) hypergeometric functions; Kummer's transformation; binomial and q-binomial expansions; Heine's (or q-Euler) transformations; q-series identities;
D O I：
10.1016/S0096-3003(99)00007-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 the theory of a class of probability distributions known as the non-central negative binomial distribution. Basic (or q-) extensions of the main series identities are also considered. (C) 2000 Elsevier Science Inc. All rights reserved.
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页码：129 / 138
页数：10
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