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ArcSec




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[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/01.18.06.0039.01









  


  








Input Form





ArcSec[z]^2 == Pi^2/4 - (1/4) Log[-(4/z^2)]^2 + ((Pi z)/2) Sqrt[-(1/z^2)] Log[-(4/z^2)] + (z^2/4) (Log[-(1/z^2)] - Pi z Sqrt[-(1/z^2)]) HypergeometricPFQ[{3/2, 1, 1}, {2, 2}, z^2] + (z^2/2) HypergeometricPFQ[{3/2, 1, 1, 1}, {2, 2, 2}, z^2] - (z^2/4) 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