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
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
Journal title :
Computers and Mathematics with Applications
