Riemann Zeta Matrix Function

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 sinπxP.  Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals. We prove a functional equation for Riemann zeta matrix function.

Keywords

• Gamma matrix function, Riemann Zeta matrix function, Matrix integrals

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