I use the branch cut~, real positive axis.
I know that the integrant is kind of exponential integrals.
Actually I try to solve following integral.
I(V, H) = int(from 0 to infinity) { 1 / (k sinh kH - cosh kH) - 2 e^(-kH) / (k - 1) } * (k + 1) * cosh(kV) * e^(-kH) dk
ps. How could I...
I want to compute kind of following problems.
int(from 0 to infinity) e^(-x) / (x-1) dx= I
using contour integrals, then
2 pi i I = -pi i / (2) Res[e^(-x) ln(x) /(x-1) , x = 1] - pi i / (2) Res[e^(-x) /(x-1) (ln(x) + 2 pi i) , x = 1]
I = e^(-1) / (2) pi i
I know there is some...