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ArcCot






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.16.06.0052.01









  


  










Input Form





ArcCot[z]^2 == Subscript[F, Infinity][z] /; Subscript[F, n][z] == (-(1/4)) Log[-((I (z - I))/2)]^2 - I ((z - I)/4) Log[-((I (z - I))/2)] Sum[(I/2)^k ((z - I)^k/(k + 1)), {k, 0, n}] + ((z - I)^2/16) Sum[(I/2)^k ((z - I)^k/(k + 1)), {k, 0, n}]^ 2 == -(((2^(-n - 3) I^n (z - I)^(2 + n))/(n + 2)) Hypergeometric2F1[1, 2 + n, 3 + n, I ((z - I)/2)] + (1/2) Log[(-I) (z - I)] - (1/2) Log[(-I) (z + I)])^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