Complex Argument

Author

Eric W. Weisstein
December 2, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/ComplexAnalysis/ComplexArgument.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/ComplexArgument.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Plot

<<Utilities`Plot`
<<Utilities`Typesetting`

ComplexPlot3D[Arg[z],{z,-3,3},ComplexPlotLabel->HoldForm[Arg[z]],PlotPoints->100]

ComplexContourPlot[Arg[z],{z,-3,3},ComplexPlotLabel->HoldForm[Arg[z]]]

Identities

Arg[z1 z2]

{Arg[(1+2I)^3],3Arg[1+2I]}//N

Special Values

Arg/@{1,1+I,I,-1,-I}

Arg[0]

Arg[-1-10^-10I]

Arg[ComplexInfinity]

Arg[DirectedInfinity[x]]