MULTIVARIABLE MATRIX GENERALIZATION OF GOULD-HOPPER POLYNOMIALS


ÇEKİM B., Aktas R.

MISKOLC MATHEMATICAL NOTES, vol.16, no.1, pp.79-89, 2015 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.18514/mmn.2015.1112
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.79-89
  • Keywords: Gould-Hopper polynomials, generating matrix function, matrix recurrence relation, matrix differential equation, DIFFERENTIAL-EQUATIONS, HERMITE POLYNOMIALS

Abstract

The main object of this investigation is to define a multivariable matrix generalization of Gould-Hopper polynomials and to reveal some relations such as matrix generating function, matrix recurrence relation, matrix differential equation for them. Furthermore, more general families of bilinear and bilateral matrix generating functions are obtained for these matrix polynomials.