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ArcCosh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCosh[z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself > In the center of- plane





http://functions.wolfram.com/01.26.06.0051.01









  


  








Input Form





ArcCosh[z] == Exp[Pi I Floor[Arg[z - x]/(2 Pi)]] (Pi I - ((Sqrt[Pi] Sqrt[x - 1])/2) Sum[(((1 + x)^(1/2 - j) (1 - x)^(j - k))/(j! (k - j)!)) Pochhammer[-(1/2), k - j] Hypergeometric2F1Regularized[1, 1, 3/2 - j, (1 + x)/2] (z - x)^k, {k, 0, Infinity}, {j, 0, k}]) /; Element[x, Reals] && -1 < x < 1








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)





2007-05-02