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variants of this functions
Beta




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[z,a,b] > Representations through more general functions > Through hypergeometric functions of two variables





http://functions.wolfram.com/06.19.26.0009.01









  


  








Input Form





Beta[z, a, b] == Beta[a, b] - ((1 - z)^b/b) HypergeometricPFQ[ {{}, {-a}, {1, a + b}}, {{}, {}, {b + 1}}, 1 - z, 1 - z] /; !(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