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Question regarding gamma function

  1. May 3, 2013 #1
    1. The problem statement, all variables and given/known data
    I have a quick question about the gamma function.

    According to my textbook it says:
    [tex]\int_{0}^{\infty }{{{x}^{n}}{{e}^{-ax}}dx}=\frac{\Gamma \left( n+1 \right)}{{{a}^{n+1}}}[/tex]
    where [itex]\Gamma[/itex] is the gamma function. My question is, do n has to be an integer number, or can it also be a half-integer number for the gamma function to work ?

    Thanks in advance.
     
  2. jcsd
  3. May 3, 2013 #2

    Ray Vickson

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    Homework Helper

    n is any real number > -1.
     
  4. May 3, 2013 #3
    Ok, thank you very much :)
     
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