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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/01.14.26.0018.01









  


  








Input Form





ArcTan[z] - (Pi/4) (Sqrt[1/z^2] z - Sqrt[-(I/(-I + z))] Sqrt[I z + 1] - Sqrt[1 + I/z] Sqrt[z/(I + z)] + Sqrt[1 - I/z] Sqrt[z/(-I + z)] + Sqrt[I/(I + z)] Sqrt[1 - I z] + Sqrt[z^2]/z) + Sum[((-1)^k z^(-2 k - 1))/(2 k + 1), {k, 0, n}] == (((-1)^n z Sqrt[1/z^2])/2) MeijerG[{{1, 3/2 + n, 1/2}, {}}, {{3/2 + n}, {0, 1/2}}, 1/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)





2003-08-21