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ArcSinh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.25.27.1838.01









  


  








Input Form





ArcSinh[(2 Sqrt[z^2 + 1])/z^2] == ((Sqrt[-2 - z^2] Sqrt[1 + z^2])/(2 Sqrt[1 - I z] (-I + z) (-(I/z))^(5/2) Sqrt[(-(1 + z^2)) (2 + z^2)])) Sqrt[(I - z)/z] Sqrt[(1 + z^2)/z^4] (Pi (z Sqrt[-(1/z^2)] - I Sqrt[(-I) z] Sqrt[I/z] Sqrt[(z + I Sqrt[2])/z] Sqrt[z/(I Sqrt[2] + z)] + I Sqrt[I z] Sqrt[-(I/z)] Sqrt[((-I) Sqrt[2] + z)/z] Sqrt[z/((-I) Sqrt[2] + z)] - (z^3/(1 + z^2)) Sqrt[(1 + z^2)/z^4] Sqrt[-((1 + z^2)/z^2)]) + 4 ArcCsch[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