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variants of this functions
BetaRegularized




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > BetaRegularized[z,a,b] > Series representations > Generalized power series > Expansions at z==infinity





http://functions.wolfram.com/06.21.06.0051.01









  


  








Input Form





BetaRegularized[z, a, 1 - a] == ((-a) (Sin[a Pi]/Pi) z^(-1 + a) HypergeometricPFQ[{1, 1, 1 + a}, {2, 2}, 1/z])/(-z)^a + ((Sin[a Pi]/Pi) z^a (-EulerGamma + Log[-z] - PolyGamma[a]))/(-z)^a /; !IntervalMemberQ[Interval[{0, 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)





2007-05-02