Beta

Euler beta function (SymPy, WMA)


Beta[a, b]

is the Euler's Beta function $\mathrm{B}(a, b)$.

Beta[z, a, b]

gives the incomplete Beta function $\mathrm{B}_z(a, b)$.

The Beta function satisfies the property:
$\mathrm{B} = \int_0^t t^{(x-1)(1-t)^(y-1)} = \Gamma(a) \Gamma(b) / \Gamma(a + b)$

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