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ArcSin






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSin[z] > Series representations > Generalized power series > Expansions at z==infinity > For small integer powers of the function > For the second power





http://functions.wolfram.com/01.12.06.0069.01









  


  










Input Form





ArcSin[z]^2 == -2 Log[2]^2 - Log[-z^2]^2/4 - Log[-(z^2/4)] Log[1 + Sqrt[1 - 1/z^2]] - Log[1 + Sqrt[1 - 1/z^2]]^2 + 2 PolyLog[2, 1/2 - (1/2) Sqrt[1 - 1/z^2]] - (1/(4 z^2)) Sum[(Pochhammer[3/2, k] ((PolyGamma[-(1/2) - k] - PolyGamma[k + 1])/((k + 1)^2 k!)))/z^(2 k), {k, 0, Infinity}] /; Abs[z] > 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