ON GENERALIZED HUMBERT MATRIX POLYNOMIALS

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KARGIN L., Kurt V.

MISKOLC MATHEMATICAL NOTES, cilt.15, sa.2, ss.509-524, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.18514/mmn.2014.1155
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.509-524
  • Anahtar Kelimeler: generalized Humbert matrix polynomials, Gegenbauer matrix polynomials, matrix differential equation, HERMITE-POLYNOMIALS, DIFFERENTIAL-EQUATIONS, 2ND KIND, EXTENSION, SERIES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.