Definition:Beta Function/Definition 3

Definition
The beta function $\Beta: \C \times \C \to \C$ is defined for $\map \Re x, \map \Re y > 0$ as:
 * $\map \Beta {x, y} := \dfrac {\map \Gamma x \map \Gamma y} {\map \Gamma {x + y} }$

where $\Gamma$ is the gamma function.

Also see

 * Equivalence of Definitions of Beta Function


 * Definition:Gamma Function