MATRIX EXTENSIONS OF POLYNOMIALS IN SEVERAL VARIABLES


Erkus-Duman E.

UTILITAS MATHEMATICA, vol.85, pp.161-180, 2011 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 85
  • Publication Date: 2011
  • Journal Name: UTILITAS MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.161-180

Abstract

In this paper, the matrix version of the multivariable polynomials defined by Erkus and Srivastava [Integral Transform. Spec. Funct. 17 (2006), 267-273] are introduced. With the help of these polynomials, we derive the matrix version of the Chan-Chyan-Srivastava multivariable polynomials and the multivariable extension of the familiar Lagrange-Hermite polynomials. Various families of linear, multilinear and multilateral generating functions for these multivariable matrix polynomials are presented. Miscellaneous properties are also discussed.