Some Clebsch-Gordan type linearization relations and associated families of Dirichlet integrals

  • Authors:

  • H. M. Srivastava;A. W. Niukkanen

  • Affiliations:

  • Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W3P4, Canada;Vernadsky Institute of Geochemistry and Analytical Chemistry Russian Academy of Sciences, 19 Kossygin Street, Moscow 119991, Russia

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2003

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Abstract

Motivated essentially by some potentially useful Clebsch-Gordan type linearization relations for the Laguerre polynomials, the authors evaluate certain families of multiple Dirichlet integrals involving the products of several Laguerre polynomials. Relevant connections of the main results presented here with various known integral formulas are also considered.