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variants of this functions
BetaRegularized




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > BetaRegularized[z,a,b] > Integral representations > Contour integral representations





http://functions.wolfram.com/06.21.07.0003.01









  


  








Input Form





BetaRegularized[z, a, b] == (1/(2 Pi I)) ((Gamma[a + b] Sin[Pi b] z^a)/ (Pi Gamma[a])) ContourIntegrate[(Gamma[s] Gamma[a - s] Gamma[1 - b - s])/ Gamma[a + 1 - s]/(-z)^s, {s, \[ScriptCapitalL]}] /; Abs[Arg[-z]] < Pi








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