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ArcCoth




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Series representations > Generalized power series > Expansions at z==1 > For small integer powers of the function > For the second power





http://functions.wolfram.com/01.28.06.0050.01









  


  








Input Form





ArcCoth[z]^2 == (1/4) Log[(z - 1)/2]^2 - (1/4) Log[(z - 1)/2] (z - 1) Hypergeometric2F1[1, 1, 2, (1 - z)/2] + (1/16) (z - 1)^2 Hypergeometric2F1[1, 1, 2, (1 - z)/2]^2 /; !IntervalMemberQ[Interval[{-1, 0}], 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