Title of article
Probabilistic derivation of some generating functions for the Laguerre polynomials
Author/Authors
Poh-Aun Lee، نويسنده , , Seng-Huat Ong، نويسنده , , H. M. Srivastava، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1999
Pages
9
From page
21
To page
29
Abstract
A well-known generating function of the classical Laguerre polynomials was recently rederived probabilistically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabilistic considerations. A direct (analytical) proof of each of these generating functions is also presented for the sake of completeness.
Keywords
Generating functions , Hypergeometric function , Noncentral negative binomial distribution , Poisson distribution , Group-theoretic method , Probability mass function , Probability generating function , Bilinear generating functions , Laguerre polynomials
Journal title
Computers and Mathematics with Applications
Serial Year
1999
Journal title
Computers and Mathematics with Applications
Record number
918543
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