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## Main Question or Discussion Point

Is it possible to find the factorial of a negative real number ? If possible, then what is its practical application ?

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Is it possible to find the factorial of a negative real number ? If possible, then what is its practical application ?

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jedishrfu

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http://mathoverflow.net/questions/10124/the-factorial-of-1-2-3

and

http://mathforum.org/library/drmath/view/60851.html

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The generalization of the factorial is the gamma function. For various reasons there's an offset of one: [itex]\Gamma(n) = (n-1)![/itex]. The gamma function is defined for complex numbers as well as real numbers. The only exception are non-positive real integers. The gamma function "blows up" at 0, -1, -2, etc.

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