IJPAM: Volume 115, No. 1 (2017)

Title

CERTAIN GENERATING FUNCTIONS OF GENERALISED
HYPERGEOMETRIC 2D POLYNOMIALS FROM LIE-GROUP
THEORETIC POINT OF VIEW

Authors

P.L. Rama Kameswari$^1$, V.S. Bhagavan$^2$
$^{1,2}$Department of Mathematics
K.L. University
Guntur Dt., A.P., INDIA
$^1$Department of Mathematics
Swarnandhra College of Engineering and Technology
Seetharampuram, Narsapuram-534 280
West Godawari Dt., A.P., INDIA

Abstract

In this paper, we have obtained some novel generating functions of generalized hypergeometric $2D$ polynomials $(GH2DP)$ $U_{n}(\beta;\gamma;x,y)$ by group theoretic method introduced by Louis Weisner.A suitable interpretation to the index n and parametres $\beta,\gamma$ are given,we introduced five linear partial differential operators wich they generate a Lie-algebra. Futher, we have derived the well known generating functions of Laguerre polynomialof two variables as an application.

History

Received: January 4, 2017
Revised: April 12, 2017
Published: June 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 33C45, 33C47
Key Words and Phrases: generalized hypergeometric 2D polynomials, generating functions

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How to Cite?

DOI: 10.12732/ijpam.v115i1.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 1
Pages: 59 - 66


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