Remarks on Some Associated Laguerre Integral Results

H. M. Srivastava*, H. A. Mavromatis, R. S. Alassar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

The remarks on some associated Laguerre integral results are presented. The main object of the present sequel to the recent works is to investigate and apply much more general families of integral formulas. The formulas involve products of two or more Laguerre polynomials, which have been considered in the mathematical literature rather extensively.

Original languageEnglish
Pages (from-to)1131-1136
Number of pages6
JournalApplied Mathematics Letters
Volume16
Issue number7
DOIs
StatePublished - Oct 2003

Bibliographical note

Funding Information:
The present investigation was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant OGPOO07353. H.A. Mavromatis and R.S. Alassar would like to acknowledge the support of the King Fahd University of Petroleum and Minerals in this work.

Keywords

  • Appell functions
  • Chu-Vandermonde theorem
  • Coulomb and oscillator systems
  • Degrees of freedom
  • Generalized hypergeometric function
  • Loguerre polynomials
  • Noncentral Gamma distributions
  • Orthogonality property
  • Quantum numbers

ASJC Scopus subject areas

  • Applied Mathematics

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