A new integral involving the product of bessel functions and associated laguerre polynomials

R. S. Alassar*, H. A. Mavromatis, S. A. Sofianos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A new result for integrals involving the product of Bessel functions and Associated Laguerre polynomials is obtained in terms of the hypergeometric function. Some special cases of the general integral lead to interesting finite and infinite series representations of hypergeometric functions.

Original languageEnglish
Pages (from-to)263-267
Number of pages5
JournalActa Applicandae Mathematicae
Volume100
Issue number3
DOIs
StatePublished - Feb 2008

Bibliographical note

Funding Information:
Acknowledgements R.S. Alassar wishes to acknowledge the support of King Fahd University of Petroleum & Minerals (KFUPM). H.A. Mavromatis is grateful to UNISA for a visit there that enabled a collaboration to be initiated.

Keywords

  • Associated Laguerre polynomials
  • Bessel functions
  • Gamma function
  • Gegenbauer polynomials
  • Hypergeometric functions

ASJC Scopus subject areas

  • Applied Mathematics

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