Riemann Zeta Matrix Function
GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.28, no.4, pp.683-688, 2015 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 28 Issue: 4
- Publication Date: 2015
- Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.683-688
- Keywords: Gamma matrix function, Riemann Zeta matrix function, Matrix integrals
- Akdeniz University Affiliated: Yes
Abstract
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.