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beta function





The function
B(m, n) = integral sign xm -1 (1 - x)n - 1 dx.

It can be defined in terms of the gamma function by

B(m, n) =

Γ(m) Γ(n)
____________
Γ(m + n)

Many integrals can be reduced to the evaluation of beta functions.


Related category

   • FUNCTIONS