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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((((z2-1)1/2-z)/(2z))1/2) > Involving sinh-1((((z2-1)1/2-z)/(2z))1/2) and sech-1(z)





http://functions.wolfram.com/01.25.27.2016.01









  


  










Input Form





ArcSinh[Sqrt[(Sqrt[z^2 - 1] - z)/(2 z)]] == (-((Sqrt[-1 + z] z^(3/2))/(2 Sqrt[(-z) (1 + z)]))) Sqrt[(1 + z)/(-1 + z)] Sqrt[-(1/z^2)] ArcSech[z] + (Pi/(4 z)) (Sqrt[-(1/z)] Sqrt[I/z] Sqrt[(-I) z] z^(3/2) - Sqrt[-z^2] (1 + I Sqrt[I/z] Sqrt[I z]) + 3 I z (-1 + Sqrt[1 + 1/z] Sqrt[z/(1 + z)]))










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