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ArcSech






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSech[z] > Representations through equivalent functions > With related functions > Involving coth-1 > Involving sech-1(z2+1/2z) > Involving sech-1(z2+1/2z) and coth-1(i/z)





http://functions.wolfram.com/01.30.27.2297.01









  


  










Input Form





ArcSech[(z^2 + 1)/(2 z)] == (Sqrt[-(z - 1)^2]/(1 - z)) Sqrt[z + 1] Sqrt[1/(z + 1)] (Pi (z Sqrt[1/z^2] Sqrt[1/(1 + z^2)] Sqrt[1 + z^2] + 3/2) - 2 I ArcCoth[I/z]) /; Abs[z] <= 1 && (Pi/2 <= Arg[z] <= Pi || -Pi < Arg[z] < -(Pi/2))










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