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ArcTanh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Representations through more general functions > Through Meijer G > Classical cases for the direct function itself





http://functions.wolfram.com/01.27.26.0019.01









  


  








Input Form





ArcTanh[Sqrt[z]] + (Pi Sqrt[-z])/(2 Sqrt[z]) - Sum[z^(-k - 1/2)/(2 k + 1), {k, 0, n}] == ((-1)^n/2) Sqrt[z] Sqrt[-(1/z)] MeijerG[{{1, 3/2 + n, 1/2}, {}}, {{3/2 + n}, {0, 1/2}}, -(1/z)] /; Element[n, Integers] && n >= 0 && !IntervalMemberQ[Interval[{0, 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