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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/06.21.06.0053.01









  


  










Input Form





BetaRegularized[z, a, b] \[Proportional] Piecewise[{{-((E^(I b Pi) z^(-1 + a + b))/((-1 + a + b) Beta[a, b])) - (Log[z] Sin[a Pi])/(E^(I a Pi) Pi), Arg[z] <= 0}}, -(z^(-1 + a + b)/(E^(I b Pi) ((-1 + a + b) Beta[a, b]))) - (E^(I a Pi) Log[z] Sin[a Pi])/Pi] /; Element[a + b - 1, Integers] && a + b - 1 > 0 && (Abs[z] -> Infinity)










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





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