Definition:Beta Function

Definition
The Beta Function $\Beta: \C \times \C \to \C$ is defined for $\operatorname{Re} \left({x}\right), \operatorname{Re} \left({y}\right) > 0$ as:

Also known as
The Beta function can also be referred to as the Eulerian Integral of the First Kind.

Also see

 * Equivalence of Definitions of Beta Function


 * Definition:Gamma Function