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ArcSinh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSinh[z] > Representations through equivalent functions > With inverse function > Involving sinh-1(sinh(z))





http://functions.wolfram.com/01.25.27.2017.01









  


  








Input Form





ArcSinh[Sinh[z]] == Piecewise[ {{(-1)^Floor[(2 Im[z] + Pi)/(2 Pi)] (-z + Pi I Floor[(2 Im[z] - Pi)/(2 Pi)]), Element[(2 Im[z] + Pi)/(2 Pi), Integers] && Re[z] >= 0}, {(-1)^Floor[(2 Im[z] + Pi)/(2 Pi)] (z - Pi I Floor[(2 Im[z] + Pi)/(2 Pi)]), True}}]








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