Gamma function

In mathematics, the Gamma function extends the factorial function to the complex numbers. The factorial function of an integer n is written n! and is equal to the product n! = 1 × 2 × 3 × ... × n. The Gamma function "fills in" the factorial function for fractional values of n and for complex values of n. If z is a complex variable, then for integer values only, we have

Related Topics:
Mathematics - Factorial - Function - Complex number

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:Gamma(z+1)=z!,

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but for fractional and complex values of z, the above equation does not apply, since the factorial function is not defined.

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