Riemann Zeta Matrix Function
GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.28, sa.4, ss.683-688, 2015 (ESCI, Scopus)
- 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.