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ArcSinh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.25.27.1222.01









  


  








Input Form





ArcSinh[Sqrt[Sqrt[z^2 - 1] - z]/Sqrt[2 z]] == (-(I/2)) Sqrt[-(1/z)] Sqrt[I/z] Sqrt[I z] Sqrt[z] (Pi/2 - (Sqrt[1 - 1/z]/Sqrt[1/z - 1]) ArcCosh[1/z]) + (Sqrt[-z^2]/z) (1 - (I Sqrt[(-I) z])/Sqrt[I z]) (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