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ArcCosh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCosh[z] > Series representations > Generalized power series > Expansions at z==infinity > For small integer powers of the function > For the second power





http://functions.wolfram.com/01.26.06.0105.01









  


  








Input Form





ArcCosh[z]^2 == Log[2 z]^2 - (Log[2 z]/(2 z^2)) HypergeometricPFQ[ {3/2, 1, 1}, {2, 2}, 1/z^2] - (1/(2 z^2)) HypergeometricPFQ[ {3/2, 1, 1, 1}, {2, 2, 2}, 1/z^2] + (1/(4 z^2)) Sum[(Pochhammer[3/2, k] (PolyGamma[-(1/2) - k] - PolyGamma[k + 1]))/(z^(2 k) ((k + 1)^2 k!)), {k, 0, Infinity}] /; Abs[z] > 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