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How to treat negative integer factorial function?

  1. Feb 21, 2016 #1
    Dear all,

    How to deal with negative integer factorial functions? I mean what expression formula can be substituted for this?
     
  2. jcsd
  3. Feb 21, 2016 #2

    Vanadium 50

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    I don't believe there is one. The Gamma function is the analytic continuation, but it has poles at the negative integers.
     
  4. Feb 22, 2016 #3

    HallsofIvy

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    The first thing you would have to do is define this "negative factorial function". Where did you find a reference to a "negative factorial function"? If this was given in some text exercise how was the negative factorial function defined?
     
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