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ArcSec






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself > In the left half-plane





http://functions.wolfram.com/01.18.06.0024.01









  


  










Input Form





ArcSec[z] \[Proportional] -2 Pi I Exp[((Pi I)/2) Floor[Arg[-z + x]/(2 Pi)]] Floor[Arg[-z + x]/(2 Pi)] + Exp[Pi I Floor[Arg[-z + x]/(2 Pi)]] (ArcSec[x] - (-x + z)/(x Sqrt[-1 + x^2]) + ((-1 + 2 x^2) (-x + z)^2)/ (2 Sqrt[-1 + x^2] x^2 (-1 + x^2)) + O[(z - x)^3]) /; Element[x, Reals] && -1 < x < 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