EXTENDED JACOBI MATRIX POLYNOMIALS

AKTAŞ R., ÇEKİM B., Cevik A.

UTILITAS MATHEMATICA, vol.92, pp.47-64, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 92
  • Publication Date: 2013
  • Journal Name: UTILITAS MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.47-64
  • Keywords: Jacobi matrix polynomials, Hypergeometric matrix function, Rodrigues formula, Generating matrix function, Recurrence relation, DIFFERENTIAL-EQUATIONS, EXTENSION
  • Gazi University Affiliated: Yes

Abstract

In this paper, extended Jacobi matrix polynomials (EJMPs) are introduced. The matrix differential equation satisfied by them is given. A Rodrigues formula, orthogonality, linear generating matrix functions and recurrence relations are presented for these matrix polynomials. Furthermore, general families of multilinear and multilateral generating matrix functions are obtained and their applications are presented.