1. Not finding help here? Sign up for a free 30min 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!

Saddle point question.

  1. Jan 9, 2007 #1
    To evaluate the integral

    [tex] \int_{-\infty}^{\infty}dt e^{xf(t)} [/tex] whenever x is 'big' (tending to infinity) we use the saddle point expansion so:

    [tex] \int_{-\infty}^{\infty}dt e^{xf(t)}\sim g(x)\sum_{n=0}^{\infty}a_{n}x^{-n} [/tex]

    Of course the expansion above is just valid for x---> infinite, but what would happen if i put x=1 and hence i must find the sum for the a(n):

    [tex] \sum_{n=0}^{\infty}a(n) = S [/tex] will at least S exist in the sense of a 'Borel summable' series to calculate the integral for x=1,2,3,4,.....
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Saddle point question.
Loading...