1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Complex residue integral

  1. Jun 7, 2009 #1
    1. The problem statement, all variables and given/known data

    i need to calculate the inverse Mellin transform [tex] \oint ds {x^{-s}}\frac{1}{\Gamma(s)cos(\pi s/2)} [/tex]

    2. Relevant equations

    I can use Cauchy's integral theorem,

    3. The attempt at a solution

    i know that Gamma function has poles at -1,-2,-3, .... and that the cosine term has poles at every integer the question is how could i expand Gamma function and cosine term in order to obtain the complex integral.
  2. jcsd
  3. Jun 7, 2009 #2


    User Avatar
    Staff Emeritus
    Science Advisor

    What path is the integral taken over and, in particular, what integers are contained inside that path?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook