๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Probabilistic derivation of some generating functions for the Laguerre polynomials

โœ Scribed by Poh-Aun Lee; Seng-Huat Ong; H.M. Srivastava

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
432 KB
Volume
38
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

A well-known generating function of the classical Laguerre polynomials was recently rederived probabillstically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabillstic considerations. A direct (analytical) proof of each of these generating functions is also presented for the sake of completeness.

๐Ÿ“œ SIMILAR VOLUMES

Some Families of Generating Functions fo
Some Families of Generating Functions for the Bessel Polynomials
โœ Sheldon Yang; H.M Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 177 KB

The main object of this paper is to show how readily some general results on bilinear, bilateral, or mixed multilateral generating functions for the Bessel polyno-ลฝ . mials would provide unifications and generalizations of numerous generating functions which were proven recently by using group-theor