ON GENERALIZED HUMBERT MATRIX POLYNOMIALS

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KARGIN L., Kurt V.

MISKOLC MATHEMATICAL NOTES, vol.15, no.2, pp.509-524, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.18514/mmn.2014.1155
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.509-524
  • Keywords: generalized Humbert matrix polynomials, Gegenbauer matrix polynomials, matrix differential equation, HERMITE-POLYNOMIALS, DIFFERENTIAL-EQUATIONS, 2ND KIND, EXTENSION, SERIES
  • Akdeniz University Affiliated: Yes

Abstract

Aktas et. al. in [3] introduced the generalized Humbert matrix polynomials (G-HMP) P-n(A) (m, x, y, c). In this paper we focus on some properties of these matrix polynomials such as matrix recurrence relations, matrix differential equation and an integral representation. We introduce generalized forms of operational rules associated with operators corresponding to a G-HMP expansions. Moreover, we obtain a series transformation formula involving Gegenbauer matrix polynomials. Then we provide a number of applications.