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ArcSinh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.25.27.1317.01









  


  








Input Form





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