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ArcCosh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCosh[z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > In the lower half-plane





http://functions.wolfram.com/01.26.06.0057.01









  


  








Input Form





ArcCosh[z] == Subscript[F, Infinity][z] /; (Subscript[F, n][z] == (-I) (Pi/2 - Sum[(Pochhammer[1/2, k] z^(2 k + 1))/ ((1 + 2 k) k!), {k, 0, n}]) == ArcCosh[z] - (I/(2 Sqrt[Pi])) z^(3 + 2 n) Gamma[3/2 + n]^2 HypergeometricPFQRegularized[{1, 3/2 + n, 3/2 + n}, {2 + n, 5/2 + n}, z^2] && Element[n, Integers] && n >= 0) && Im[z] < 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)





2007-05-02