Exsecant

Author

Eric W. Weisstein
September 13, 2005

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

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

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

Definition

Exsecant[z]

Derivative

D[Exsecant[z],z]

Integral

Integrate[Exsecant[z],z]//FullSimplify

Plots

<<Utilities`Plot`

PlotDiscontinuous[Exsecant[x],{x,-2π,-3π/2,-π/2,π/2,3π/2,2π},PlotStyle->Red,Ticks->
{(Range[-2,2,1/2]π),Range[-10,10,2]},
PlotLabel->TraditionalForm[HoldForm[Exsecant[x]]],DefaultFont->"Times",PlotRange->10{-1,1},VerticalAsymptotes->Range[-3π/2,3π/2,π]
]

ComplexPlot3D[Exsecant[z],{z,-5,5},
PlotPoints->200,ComplexPlotLabel->HoldForm[Exsecant[z]]]//Timing

ComplexContourPlot[Exsecant[z],{z,-5,5},ComplexPlotLabel->HoldForm[Exsecant[z]]]//Timing