Year: 1999
Type: article
Abstract: In this paper, Weisner's group theoretic method is utilized to obtain the generating relations for the generalized hypergeometric polynomial set . To derive the elements of Lie algebra, a suitable interpretation to the index n is given. The generating relations are followed by its applications to the classical orthogonal polynomials, namely the Laguerre, Meixner, Gottlieb, Krawtchouk and Meixner-Pollaczek polynomials. Many results obtained as applications are known but some of those presented here are believed to be new.
Authors: I K Khanna, V Srinivasa Bhagavan
Institution: Banaras Hindu University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1985178890