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ArcCoth




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.28.26.0020.01









  


  








Input Form





ArcCoth[Sqrt[z]] - (Pi Sqrt[-z])/(2 Sqrt[z]) - Sum[z^(k + 1/2)/(2 k + 1), {k, 0, n}] == (((-1)^n Sqrt[-z])/(2 Sqrt[z])) MeijerG[{{1, 3/2 + n, 1/2}, {}}, {{3/2 + n}, {0, 1/2}}, -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