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ArcCosh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.26.26.0029.01









  


  








Input Form





ArcCosh[Sqrt[z]] - (Pi Sqrt[-1 + z])/(2 Sqrt[1 - z]) + (Sqrt[-1 + z] Sqrt[z] Log[-4 z])/(2 Sqrt[1 - z] Sqrt[-z]) - ((Sqrt[-1 + z] Sqrt[z])/(2 Sqrt[1 - z] Sqrt[-z])) Sum[Pochhammer[1/2, k]/(z^k (k k!)), {k, 1, n}] == (((-1)^(-1 + n) Sqrt[-1 + z] Sqrt[z])/(2 Sqrt[Pi] Sqrt[1 - z] Sqrt[-z])) MeijerG[{{1/2, 1, 1 + n}, {}}, {{1 + n}, {0, 0}}, -(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