MULTIVARIABLE MATRIX GENERALIZATION OF GOULD-HOPPER POLYNOMIALS

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ÇEKİM B., AKTAŞ R.

MISKOLC MATHEMATICAL NOTES, cilt.16, sa.1, ss.79-89, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.18514/mmn.2015.1112
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.79-89
  • Anahtar Kelimeler: Gould-Hopper polynomials, generating matrix function, matrix recurrence relation, matrix differential equation, DIFFERENTIAL-EQUATIONS, HERMITE POLYNOMIALS
  • Ankara Üniversitesi Adresli: Evet

Özet

The main object of this investigation is to define a multivariable matrix generalization of Gould-Hopper polynomials and to reveal some relations such as matrix generating function, matrix recurrence relation, matrix differential equation for them. Furthermore, more general families of bilinear and bilateral matrix generating functions are obtained for these matrix polynomials.