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ArcTanh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[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/01.27.06.0046.01









  


  










Input Form





ArcTanh[z]^2 == (1/4) Log[(1 - z)/2]^2 + ((z - 1)^2/16) Sum[((-(1/2))^k/(k + 1)) (z - 1)^k, {k, 0, Infinity}]^2 - Log[(1 - z)/2] ((z - 1)/4) Sum[((-(1/2))^k/(k + 1)) (z - 1)^k, {k, 0, Infinity}] /; Abs[z - 1] < 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