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ArcSin






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSin[z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself > In the left half-plane





http://functions.wolfram.com/01.12.06.0031.01









  


  










Input Form





ArcSin[z] == Pi/2 + 2 Pi I I^Floor[Arg[z - x]/(2 Pi)] Floor[Arg[z - x]/(2 Pi)] - Exp[Pi I Floor[Arg[z - x]/(2 Pi)]] (Pi/2 - (Sqrt[Pi]/2) Sum[((2^k x^(1 - k))/k!) HypergeometricPFQRegularized[{1/2, 1/2, 1}, {1 - k/2, (3 - k)/2}, x^2] (z - x)^k, {k, 0, Infinity}]) /; Element[x, Reals] && x < -1










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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