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ArcSinh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSinh[z] > Representations through equivalent functions > With related functions > Involving sech-1 > Involving sinh-1(2 (1-z2)1/2/z2) > Involving sinh-1(2 (1-z2)1/2/z2) and sech-1(z)





http://functions.wolfram.com/01.25.27.1988.01









  


  








Input Form





ArcSinh[(2 Sqrt[1 - z^2])/z^2] == (-((2 z Sqrt[-1 + z^2])/Sqrt[z^2 - z^4])) (Pi/2 - (Sqrt[1 - 1/z]/Sqrt[1/z - 1]) ArcSech[z]) /; Abs[z] >= Sqrt[2] || Pi/4 <= Abs[Arg[z]] <= (3 Pi)/4








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)





2003-08-21