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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 right half-plane





http://functions.wolfram.com/01.12.06.0035.01









  


  










Input Form





ArcSin[z] == Pi/2 + Exp[Pi I Floor[Arg[-z + x]/(2 Pi)]] (-Pi + (Sqrt[Pi]/2) Sum[(1/((k - j)! j!)) Pochhammer[-(1/2), -j + k] (1 - x)^(1/2 + j - k) (1 + x)^(1/2 - j) Hypergeometric2F1Regularized[ 1, 1, 3/2 - j, (1/2) (1 + x)] (z - x)^k, {k, 0, Infinity}, {j, 0, k}]) /; 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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