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variants of this functions
Beta






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[z1,z2,a,b] > Representations through more general functions > Through hypergeometric functions > Involving 2F~1





http://functions.wolfram.com/06.20.26.0002.01









  


  










Input Form





Beta[Subscript[z, 1], Subscript[z, 2], a, b] == Gamma[b] ((1 - Subscript[z, 1])^b Subscript[z, 1]^a HypergeometricPFQRegularized[{1, a + b}, {1 + b}, 1 - Subscript[z, 1]] - (1 - Subscript[z, 2])^b Subscript[z, 2]^a HypergeometricPFQRegularized[ {1, a + b}, {1 + b}, 1 - Subscript[z, 2]]) /; !(Element[-b, Integers] && -b >= 0)










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