Special values and integral representations for the Hurwitz-type Euler zeta functions

Su Hu, Daeyeoul Kim, Min-Soo Kim

The Hurwitz-type Euler zeta function is defined as a deformation of the Hurwitz zeta function: \begin{equation*} ζ_E(s,x)=\sum_{n=0}^\infty\frac{(-1)^n}{(n+x)^s}. \end{equation*} I…