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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 left half-plane





http://functions.wolfram.com/01.26.06.0047.01









  


  










Input Form





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