A generalization of a result on generating functions of modified Laguerre polynomial by using the notion of partial quasibilinear generating function-Reference-Cited by-同舟云学术

A generalization of a result on generating functions of modified Laguerre polynomial by using the notion of partial quasibilinear generating function

Published:2024-04-26 Issue: Volume:42 Page:1-6
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
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Short-container-title:B Soc Paran Mat

Author:

Chongdar Amartya,Mukherjee Prakash^ORCID

Abstract

In his paper [2], Chongdar obtained an extension (Theorem 3) of the result on bilateral generating functions involving modified Laguerre polynomial stated in Theorem 1 of Ghosh [3]. In this article, the present authors have made an attempt to present a further generalization of the extension obtained by Chongdar [2] by means of the theory of one parameter group of continuous transformations as well as using the concepts of partial quasibilateral generating function [4] involving some special functions.

Publisher

Sociedade Paranaense de Matemática

Reference9 articles.

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2. Chongdar, A. K., On a class of bilateral generating functions for certain special functions, Proceedings of the Indian Academy of Sciences-Mathematical Sciences 95, 133-140, (1986).

3. Ghosh, B., Some theorems on generating functions of modified Laguerre Polynomials, Bull. Cal. Math. Soc. 79, 41-47, (1987).

4. Mondal, A. K., A unified group-theoretic method of obtaining a more general class of generating relations from a given class of partial quasi-bilateral (or partial quasi-bilinear) generating relations involving some special functions, Pure Math. Manuscript 10, 121-132, (1992-93).

5. Mondal, A. K., Partial quasi-bilateral generating function involving Laguerre and Gegenbauer polynomials (I), Pure Math. Manuscript 10, 97-103, (1992-93).