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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 generic point z==z0 > For the function itself





http://functions.wolfram.com/06.21.06.0025.01









  


  










Input Form





BetaRegularized[z, a, b] \[Proportional] (Sin[Pi b]/(Pi Gamma[a])) (1/Subscript[z, 0])^ (a Floor[Arg[z - Subscript[z, 0]]/(2 Pi)]) Subscript[z, 0]^(a (1 + Floor[Arg[z - Subscript[z, 0]]/(2 Pi)])) (MeijerG[{{1 - a, b}, {}}, {{0, b}, {}}, 1 - Subscript[z, 0]] (1/(1 - Subscript[z, 0]))^(b Floor[Arg[-z + Subscript[z, 0]]/(2 Pi)]) (1 - Subscript[z, 0])^(b Floor[Arg[-z + Subscript[z, 0]]/(2 Pi)]) - (2 I E^(I b Pi Floor[Arg[-z + Subscript[z, 0]]/(2 Pi)]) Pi Floor[(Pi + Arg[1 - Subscript[z, 0]])/(2 Pi)] Floor[Arg[-z + Subscript[z, 0]]/(2 Pi)] Gamma[a])/Subscript[z, 0]^a) + O[z - Subscript[z, 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)





2007-05-02





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