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ArcCsc






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCsc[z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself





http://functions.wolfram.com/01.17.06.0037.01









  


  










Input Form





ArcCsc[z] == Subscript[F, Infinity][z] /; Subscript[F, n][z] == (-(z/2)) Sqrt[-(1/z^2)] Log[-(4/z^2)] + (z^3/4) Sqrt[-(1/z^2)] Sum[(Pochhammer[3/2, k] z^(2 k))/((1 + k)^2 k!), {k, 0, n}] == ArcCsc[z] - Sqrt[-(1/z^2)] ((z^(5 + 2 n) Pochhammer[3/2, 1 + n])/(4 (n + 2) (n + 2)!)) HypergeometricPFQ[{1, n + 5/2, n + 2, n + 2}, {n + 2, n + 3, n + 3}, 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