Recent content by nikos749

i end up $$\int_0^{\infty} ( e^{ia/x}-e^{-ib/x})dx$$ which is something different from gamma function

How to solve $$\int_{-\infty}^{\infty} \frac{e^{-iax}coth[sinh[bx]]}{sinh[bx]} dx$$ mathematica gives the result ::idiv: "Integral of E^(-Iax)\ Coth[Sinh[bx]]\ Csch[bx] does not converge on {-\[Infinity],\[Infinity]}." thanks!

I had been trying to aplly the sokhotski–plemelj theorem but with no success. Moreover i replaced exponential function with taylor expansion but i still can not solve the integral. thanks