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Korean Mathematical Society (대한수학회)
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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)
  • Received : 2015.01.02
  • Published : 2015.06.30
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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

Acknowledgement

Supported by : Dongguk University

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