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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[z] > Transformations > Products, sums, and powers of the direct function > Sums of the direct function





http://functions.wolfram.com/01.14.16.0187.01









  


  








Input Form





ArcTan[x] + ArcTan[y] + ArcTan[z] == ArcTan[(y z x - x - y - z)/(x y + z y + x z - 1)] + Pi Floor[(-Arg[1 - I x] - Arg[1 - I y] + Arg[1 - x y] + Pi)/(2 Pi)] - Pi Floor[(-Arg[I x + 1] - Arg[I y + 1] + Arg[1 - x y] + Pi)/(2 Pi)] + Pi Floor[(-Arg[1 - (I (-x - y))/(x y - 1)] - Arg[1 - I z] + Arg[1 - ((-x - y) z)/(x y - 1)] + Pi)/(2 Pi)] - Pi Floor[(-Arg[(I (-x - y))/(x y - 1) + 1] - Arg[I z + 1] + Arg[1 - ((-x - y) z)/(x y - 1)] + Pi)/(2 Pi)]








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