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ArcTanh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself > In the left half-plane





http://functions.wolfram.com/01.27.06.0027.01









  


  










Input Form





ArcTanh[z] == ArcTanh[x] + Pi I Floor[Arg[z - x]/(2 Pi)] + (1/2) Sum[(1/(k (1 - x^2)^k)) Sum[Binomial[k, j] (1 + (-1)^(k + j - 1)) x^j (z - x)^k, {j, 0, n}], {k, 1, Infinity}] /; Element[x, Reals] && x < -1










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