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ArcCsch






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCsch[z] > Series representations > Generalized power series > Expansions at z==infinity > For the function itself





http://functions.wolfram.com/01.29.06.0065.01









  


  










Input Form





ArcCsch[z] == Subscript[F, Infinity][z] /; Subscript[F, n][z] == Sum[((-1)^k Pochhammer[1/2, k] z^(-2 k - 1))/ ((1 + 2 k) k!), {k, 0, n}] == ArcCsch[z] + ((-1)^n/(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}, -(1/z^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)





2007-05-02