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!

Homework Help: Behaviour of Gamma function when z = -n

  1. Dec 9, 2012 #1
    Hi there,

    I'm actually trying to understand why the behaviour of the Gamma function at z = -n is

    (-1)^n/(n!z) + O(1)

    The first term (although without the z) I recognized it as the residue of f when z= -n. But the rest, no idea. Any explanation is very appreciated.
     
  2. jcsd
  3. Dec 10, 2012 #2

    Mute

    User Avatar
    Homework Helper

    Where are you getting that asymptotic expression? Why does it involve both n and z? The Gamma function diverges at the negative integers; are you looking for an expansion of the Gamma function when z is close to a negative integer?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook