Certain new generating relations for products of two Laguerre polynomials
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Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Exton \cite{Exto-93} presented a very general double generating relation involving products of two Laguerre polynomials. Motivated essentially by Exton's derivation \cite{Exto-93}, 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.
Abstract
Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Exton \cite{Exto-93} presented a very general double generating relation involving products of two Laguerre polynomials. Motivated essentially by Exton's derivation \cite{Exto-93}, 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.
참고문헌 (20)
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