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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/01.14.06.0050.01









  


  








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 (-I + z)])^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