The Laguerre polynomials in several variables


AKTAŞ R., Erkus-Duman E.

MATHEMATICA SLOVACA, vol.63, no.3, pp.531-544, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.2478/s12175-013-0116-3
  • Journal Name: MATHEMATICA SLOVACA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.531-544
  • Keywords: generating function, hypergeometric function, multivariable Laguerre polynomials, multilinear and multilateral generating functions, MULTIVARIABLE EXTENSION
  • Gazi University Affiliated: Yes

Abstract

In this paper, we give some relations between multivariable Laguerre polynomials and other well-known multivariable polynomials. We get various families of multilinear and multilateral generating functions for these polynomials. Some special cases are also presented.