On gamma functions with respect to the alternating Hurwitz zeta functions

Wanyi Wang, Su Hu, Min-Soo Kim

In 2021, Hu and Kim defined a new type of gamma function $\tilde{\Gamma }(x)$ from the alternating Hurwitz zeta function ${\zeta }_E(z,x)$, and obtained some of its properties. In this pape…