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.
Journal Section | Mathematics |
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Authors | |
Publication Date | December 16, 2015 |
Published in Issue | Year 2015 Volume: 28 Issue: 4 |