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ArcSec






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Transformations > Related transformations > Differences involving the direct function > Involving coth-1(z)





http://functions.wolfram.com/01.18.16.0177.01









  


  










Input Form





ArcSec[x] - ArcCoth[y] == -2 I Pi (Floor[(-Arg[(Sqrt[1 - 1/x^2] + I/x)^I Sqrt[1 - 1/y]] + (1/2) Arg[1 + 1/y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[(Sqrt[1 - 1/x^2] + I/x)^I Sqrt[1 - 1/y]]])/(2 Pi)] + Floor[((1/2) Im[Log[1 + 1/y]] + Pi)/(2 Pi)]) - 2 I Pi (Floor[(-Arg[(Sqrt[1 - 1/x^2] + I/x)^I] - (1/2) Arg[1 - 1/y] + Pi)/ (2 Pi)] + Floor[(Pi - (1/2) Im[Log[1 - 1/y]])/(2 Pi)] + Floor[(Pi - Re[Log[Sqrt[1 - 1/x^2] + I/x]])/(2 Pi)]) + Log[((Sqrt[1 - 1/x^2] + I/x)^I Sqrt[1 - 1/y])/Sqrt[1 + 1/y]] + Pi/2










Standard Form





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MathML Form







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</cn> </apply> </apply> </apply> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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