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variants of this functions
Beta




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[z1,z2,a,b] > Differentiation > Low-order differentiation > With respect to b





http://functions.wolfram.com/06.20.20.0007.01









  


  








Input Form





D[Beta[Subscript[z, 1], Subscript[z, 2], a, b], b] == Beta[1 - Subscript[z, 1], b, a] Log[1 - Subscript[z, 1]] - Beta[1 - Subscript[z, 2], b, a] Log[1 - Subscript[z, 2]] - Gamma[b]^2 (HypergeometricPFQRegularized[{b, b, 1 - a}, {1 + b, 1 + b}, 1 - Subscript[z, 1]] (1 - Subscript[z, 1])^b - HypergeometricPFQRegularized[{b, b, 1 - a}, {1 + b, 1 + b}, 1 - Subscript[z, 2]] (1 - Subscript[z, 2])^b)








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29