Beta

Euler's beta function , a bridge between Gamma and Binomial and the normalizing constant behind the beta distribution.

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Beta(a, b)the Euler beta function .

Domain: Special functions

Details

Defined via Gamma: .
Symmetric: .
Integral form: .
Ties to Binomial: .
compute-engine evaluates Beta exactly for positive-integer a and b (an exact rational result) and detects the poles at nonpositive integers, returning ComplexInfinity.

Examples

See also: Gamma, Binomial, BetaRegularized