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单词 beta function
释义
beta function

Mathematics
  • The function B(p,q)=01xp1(1x)q1dx=Γ(p)Γ(q)Γ(p+q) where Γ(a) is the gamma function. For positive integers m, n, B(m,n)=(n1)!(m1)!(m+n1)!.


Statistics
  • The beta function B is given bybeta functionwhere a>0, b>0. The function is symmetric, i.e. B(a, b)=B(b, a), for all a, b.

    The beta function is related to the gamma function Γ bybeta functionIf a and b are positive integers thenbeta function


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