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math.CA2015
Integral representation of Weil's elliptic functions
Su Hu, Min-Soo Kim
In this paper, we give a two dimensional analogue of the Euler-MacLaurin summation formula. By using this formula, we obtain an integral representation of Weil's elliptic functions…
math.CA2015★ 16 cited
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…