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ArcTanh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Integral representations > Contour integral representations





http://functions.wolfram.com/01.27.07.0002.01









  


  








Input Form





ArcTanh[z] == (z/(4 Pi I)) ContourIntegrate[ (Gamma[s] Gamma[1/2 - s] Gamma[1 - s])/Gamma[3/2 - s]/(-z^2)^s, {s, \[ScriptCapitalL]}] /; Abs[Arg[-z^2]] < Pi








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)





2001-10-29