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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[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/01.14.06.0058.01









  


  








Input Form





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