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Minimum of gamma?

  1. Dec 14, 2006 #1
    My physics professor introduce us to the gamma function a few weeks ago, and I've been thinking about it quite a bit.

    Is there some sort of significance to the fact that the Gamma function has a local minimum value at about n=1.462?

    I worked out that the derivative of the gamma function can be shown to be

    Integral t^(n-1)*e^(-t)*ln(t) dt

    and found the zero of that function using my calculator.
  2. jcsd
  3. Dec 14, 2006 #2
    A better value for this is n=1.461632

    And gamma(1.461632)=.885603
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