Gamma function

In mathematics, the gamma function (Γ("z")) is a key topic in the field of special functions. Γ("z") is an extension of the factorial function to all complex numbers except negative integers. For positive integers, it is defined as formula_1
The gamma function is defined for all complex numbers, but it is not defined for negative integers and zero. For a complex number whose real part is not a negative integer, the function is defined by:
Properties.
Particular values.
Some particular values of the gamma function are:
Pi function.
Gauss introduced the Pi function. This is another way of denoting the gamma function. In terms of the gamma function, the Pi function is