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ArcSech






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSech[z] > Series representations > Generalized power series > Expansions at z==0 > For small integer powers of the function > For the second power





http://functions.wolfram.com/01.30.06.0071.01









  


  










Input Form





ArcSech[z]^2 == Subscript[F, Infinity][z] /; Subscript[F, n][z] == (Log[2/z] - (z^2/4) Sum[(Pochhammer[3/2, k] z^(2 k))/((1 + k)^2 k!), {k, 0, n}])^2 == (z^(4 n + 8)/(64 (n + 2)^2 (n + 2)!^2)) (8 (n + 2) (n + 2)! z^(-4 - 2 n) ArcSech[z] + 3 Pochhammer[5/2, n] HypergeometricPFQ[{1, 2 + n, 5/2 + n}, {3 + n, 3 + n}, z^2])^2 && Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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2007-05-02





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