# CERTAIN NEW GENERATING RELATIONS FOR PRODUCTS OF TWO LAGUERRE POLYNOMIALS

• CHOI, JUNESANG (Department of Mathematics Dongguk University) ;
• RATHIE, ARJUN KUMAR (Department of Mathematics School of Mathematical and Physical Sciences Central University of Kerala, Riverside Transit Campus)
• Published : 2015.06.30
• 53 16

#### Abstract

Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Exton [13] presented a very general double generating relation involving products of two Laguerre polynomials. Motivated essentially by Exton's derivation [13], the authors aim to show how one can obtain nineteen new generating relations associated with products of two Laguerre polynomials in the form of a single result. We also consider some interesting and potentially useful special cases of our main findings.

#### Keywords

gamma function;hypergeometric function;generalized hypergeometric function;$Kamp{\acute{e}}$ de $F{\acute{e}}riet$ function;Kummer's second summation theorem;Dixon and Whipple's summation theorems

#### Acknowledgement

Supported by : Dongguk University

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