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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[z] > Representations through more general functions > Through Meijer G > Classical cases for the direct function itself





http://functions.wolfram.com/01.14.26.0020.01









  


  








Input Form





ArcTan[Sqrt[z]] - Pi/2 + Sum[((-1)^k z^(-k - 1/2))/(2 k + 1), {k, 0, n}] == ((-1)^n/2) Sqrt[z] Sqrt[1/z] MeijerG[{{1, 3/2 + n, 1/2}, {}}, {{3/2 + n}, {0, 1/2}}, 1/z] /; Element[n, Integers] && n >= 0 && !IntervalMemberQ[Interval[{-1, 0}], z]








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)





2003-08-21