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    beta function

    The function

    B(m, n) = 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

       • MATHEMATICS



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