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ArcCoth






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Transformations > Related transformations > Linear combinations involving the direct function > Involving sech-1(z)





http://functions.wolfram.com/01.28.16.0243.01









  


  










Input Form





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










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