Probability Integral

Author

Eric W. Weisstein
November 29, 2002

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/ProbabilityIntegral.nb.

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

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

Initialization

α[z_?NumericQ]:=Erf[z/Sqrt[2]]

Plots

<<Plot`

Real Axis

PlotDiscontinuous[α[x],{x,-5,5},AxesLabel->TraditionalForm/@{x,α[x]},
HorizontalAsymptotes->{-1,1}
]

Complex Plane

ComplexPlot3D[α[z],{z,-5,5},PlotPoints->100]//Timing

ComplexContourPlot[α[z],{z,-5,5}]//Timing