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ArcSec




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Integral representations > Contour integral representations





http://functions.wolfram.com/01.18.07.0004.01









  


  








Input Form





ArcSec[z] == Pi/2 - (1/(2 Sqrt[Pi] z)) (1/(2 Pi I)) ContourIntegrate[(Gamma[s] Gamma[1/2 + s] Gamma[1/2 - s]^2)/ (1 - 1/z^2)^s, {s, \[ScriptCapitalL]}] /; Abs[Arg[1 - z^(-2)]] < Pi








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)





2001-10-29