Beta

Beta[a, b] gives the Euler beta function B(a, b). Beta[z, a, b] gives the incomplete beta function.

Examples

Beta function:

Beta[2, 3]
(* 1/12 *)

Beta[1/2, 1/2]
(* Pi *)

Numerical evaluation:

N[Beta[2.5, 3.5]]
(* 0.0285714 *)

Relation to Gamma:

Beta[a, b] == Gamma[a] Gamma[b] / Gamma[a + b]
(* True *)

Please visit the official Wolfram Language Reference for more details.