Generalized Euler's Beta Matrix and Related Functions

Cekim B.

11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.1132-1135 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1558
  • Doi Numarası: 10.1063/1.4825707
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.1132-1135
  • Anahtar Kelimeler: Beta matrix function, Gamma matrix function, Hypergeometric matrix function, Confluent hypergeometric matrix function, POLYNOMIALS, EXTENSION, GAMMA
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, we define generalizations of Euler's beta, gamma, hypergeometric and confluent hypergeometric matrix functions. Then, recurrence relations and integral representations are derived for generalizations of Euler's beta and gamma matrix functions. Finally, some properties such as transformation formulas, recurrence relations and integral representations are obtained for generalizations of hypergeometric and confluent hypergeometric matrix functions.