A New Multivariable Extension of Humbert Matrix Polynomials

AKTAŞ R.

11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Greece, 21 - 27 September 2013, vol.1558, pp.1128-1131 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1558
  • Doi Number: 10.1063/1.4825706
  • Country: Greece
  • Page Numbers: pp.1128-1131
  • Keywords: Humbert matrix polynomials, generating matrix function, bilinear and bilateral generating matrix function, recurrence relation, differential equation, DIFFERENTIAL-EQUATIONS
  • Ankara University Affiliated: Yes

Abstract

The purpose of this paper is to define a matrix version of a generalization (and unification) of a class of Humbert polynomials which include many well-known multivariable polynomials and to discuss some properties such as bilateral and bilinear generating matrix functions, recurrence relations, differential equation for these generalized matrix polynomials.