Recent content by c0nfig

sorry, jackmell, after expanding i get that the limit for any k is zero. can you please explain further why you have an answer that depend on k ?

thanks for your reply, just to clarify , rect is just a rectangular function from wiki : \mathrm{rect}(t) = \sqcap(t) = \begin{cases} 0 ; \mbox{if } |t| > \frac{1}{2} \\ \frac{1}{2} ; \mbox{if } |t| = \frac{1}{2} \\ 1 ; \mbox{if } |t| < \frac{1}{2}. \\ and it's Fourier transform is...

Homework Statement Hi, i need help with solving the above integral using complex analysis : \int _{-\infty }^{\infty }\!{\frac {\sin \left( x \right) {{\rm e}^{ikx}}}{x}}{dx} The Attempt at a Solution i know that the contour will probably be from -infinity to infinity with indent around the...

someone told me that it might be solved with mellin transformation. but i couldn't figure it out how it may help. could anyone throw me an hint ? thanks.

thanks for the information, i found some related info and learned how to get another relation between this integral I and zeta function using a contour that contains all the residues. but i want to understand also your answer, in the presented case s=2 , so sin(2*pi) = 0 , so how can i find...

Hi, i need to solve this integral : \int _{0}^{\infty }\!{\frac {x}{{{\rm e}^{x}}-1}}{dx} i solved it using series and i got the right answer of Pi^2 / 6 but i need a solution using complex analysis i need help with finding the right contour for this problem. i tried change of...