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ArcTanh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Continued fraction representations





http://functions.wolfram.com/01.27.10.0005.01









  


  










Input Form





ArcTanh[z] == z/(1 - z^2 + (2 z^2)/(3 + (2 z^2)/(5 (1 - z^2) + (12 z^2)/(7 + (12 z^2)/(9 (1 - z^2) + (30 z^2)/ (11 + (30 z^2)/(13 (1 - z^2) + \[Ellipsis]))))))) /; !IntervalMemberQ[Interval[{-Infinity, -1}], z] && !IntervalMemberQ[Interval[{1, Infinity}], 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)





2001-10-29