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Any non-elementary gamma fcn formulas?

  1. Jun 5, 2006 #1

    benorin

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    I'm writing a paper which includes a treatment of the gamma function, and I am taking suggestions for non-elementary formulae involving the gamma function. I have the usual limit of a product definition, two infinite products, the usual improper integrals for Re[z]>0, the Guass multiplication formula, Stirling's asymptotic series for complex arguements, the Bohr-Mollerup Thm, the Residues at the poles... did I miss anything?
     
  2. jcsd
  3. Jun 6, 2006 #2

    shmoe

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    How about the Hankel contour integral for 1/Gamma?
     
  4. Jun 6, 2006 #3

    benorin

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    Thanks, shmoe! I did miss one. I also got the reflection formula, though I forgot to mention it.
     
  5. Jun 7, 2006 #4
    :surprised
    To summarize all these approximations and take mean value?
    :smile:
     
    Last edited: Jun 7, 2006
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