How to simplify this summation to an incomplete gamma function

  1. Could someone please explain why the following sum simplifies to the following?


    = [​IMG]

    As far as I can see, this sum does not correlate to the formula for incomplete gamma function as a sum. I'd appreciate any help as the incomplete gamma function is somewhat beyond the scope of my current course.

    P.S. I managed to do it eventually. The key was recognising that n-k could be substituted for k as k varies from 0 to n.
    Last edited: Apr 25, 2014
  2. jcsd
  3. Greg Bernhardt

    Staff: Admin

    I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
  4. Attached Files:

    • Sum.JPG
      File size:
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