Riemann Zeta Matrix Function

Kargin L., Kurt V.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.28, sa.4, ss.683-688, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 4
  • Basım Tarihi: 2015
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.683-688
  • Anahtar Kelimeler: Gamma matrix function, Riemann Zeta matrix function, Matrix integrals
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sin pi xP. Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals. We prove a functional equation for Riemann zeta matrix function.