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The Beta Function

Definition of the Beta Function B(m, n)

B(m, n)      =      m > 0, n > 0

Relationship of Beta Function to Gamma Function

Extensions of Β(m, n) to m < 0, n < 0 is provided using Γ(n) = Γ(n + 1)/n.

Some Important Results

Β(m ,n) = Β(n, m)

Β(m, n) =

Β(m, n) =

Β(m, n) =