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variants of this functions
BetaRegularized






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > BetaRegularized[z1,z2,a,b] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions in the arguments





http://functions.wolfram.com/06.22.26.0009.01









  


  










Input Form





(1 + z)^(a + b - 1) BetaRegularized[1/(1 + z), 1, a, b] == ((Sin[Pi a] Gamma[a + b])/Pi) MeijerG[{{b, a + b}, {}}, {{b}, {0}}, z] /; !IntervalMemberQ[Interval[{-Infinity, -1}], z]










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





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