Title:  The multiple Hurwitz zeta, gamma functions and their applications to series representations

Speaker:   Kim Min-Soo ( Professor)

Time: Tuesday, February 27, 2024, AM: 10:30-11:30

Venue: Room 3A01, Building No. 37, Wushan Campus

Abstract: The aim of this talk is to consider possible generalizations of Coffey's formulas on the multiple Hurwitz zeta function, various series representations involving the multiple Hurwitz zeta function at each term and some expansions of the log multiple gamma functions $\log\Gamma_N(x+1)$ as series involving the Riemann zeta functions. We give explicit forms for $\log\Gamma_N(x+1)$ in finite terms involving the Riemann and Hurwitz zeta functions including their derivatives. Moreover, several relations between the ploy-multiple gamma and the multiple Hurwitz zeta functions have also been obtained.