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ArcSinh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.25.26.0031.01









  


  








Input Form





ArcSinh[z] - (z/(2 Sqrt[z^2])) Log[4 z^2] + (z/(2 Sqrt[z^2])) Sum[((-1)^k Pochhammer[1/2, k])/(z^(2 k) (k k!)), {k, 1, n}] == (((-1)^n z)/(2 Sqrt[Pi] Sqrt[z^2])) MeijerG[{{1/2, 1, 1 + n}, {}}, {{1 + n}, {0, 0}}, 1/z, 1/2] /; Element[n, Integers] && n >= 0








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