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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/01.18.06.0040.01









  


  








Input Form





ArcSec[z]^2 == (-(1/4)) Log[-(4/z^2)]^2 + ((Pi z)/2) Sqrt[-(1/z^2)] Log[-(4/z^2)] + Pi^2/4 + (z^2/4) (Log[-(4/z^2)] - Pi z Sqrt[-(1/z^2)]) HypergeometricPFQ[{3/2, 1, 1}, {2, 2}, z^2] - (z^4/16) HypergeometricPFQ[{3/2, 1, 1}, {2, 2}, z^2]^2 /; !IntervalMemberQ[Interval[{-Infinity, -1}], z]








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