On a multivariable extension of the Lagrange-Hermite polynomials

Altin A., Erkus E.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, vol.17, no.4, pp.239-244, 2006 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 4
  • Publication Date: 2006
  • Doi Number: 10.1080/10652460500432006
  • Journal Name: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.239-244
  • Keywords: generating functions, Chan-Chyan-Srivastava multivariable polynomials, Pochhammer symbol, Lagrange-Hermite polynomials, Lagrange polynomials, addition formula, (differential) recurrence relation
  • Gazi University Affiliated: No

Abstract

The authors introduce a multivariable extension of the familiar Lagrange-Hermite polynomials, which is motivated by the Chan-Chyan-Srivastava multivariable extension of the classical Lagrange polynomials. Then they derive various families of mixed, multilateral, and multilinear generating functions for these polynomials.