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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/01.27.06.0057.01









  


  










Input Form





ArcTanh[z]^2 == Subscript[F, Infinity][z] /; Subscript[F, n][z] == ((1/2) Log[(z + 1)/2] + ((z + 1)/4) Sum[(z + 1)^k/(2^k (k + 1)), {k, 0, n}])^2 == (ArcTanh[z] - (2^(-3 - n)/(2 + n)) (z + 1)^(n + 2) HypergeometricPFQ[{1, 2 + n}, {3 + n}, (z + 1)/2])^2 && Element[n, Integers] && n >= 0










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





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