Re: Complex plotting

*To*: mathgroup at smc.vnet.net*Subject*: [mg52291] Re: Complex plotting*From*: Peter Pein <petsie at arcor.de>*Date*: Sun, 21 Nov 2004 07:23:27 -0500 (EST)*References*: <cnn11e$8qb$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Diana wrote: > Mathematica folks, > > I am trying to plot the function: > > E^(3 z)/(1 + E^z) where z ranges from z = R (>0) to z = R + 2 Pi I. > > When z = R, the value of the function is E^(3 R)/(1 + E^R) > > When z = R + Pi I, the value of the function is E^(3 R)/(-1 + E^R) > > When z = R + 2 Pi I, the value of the function is E^(3 R)/(1 + E^R) again. > > I am trying to show with a plot that the magnitude of the function achieves > its maximum at z = R + Pi I. > > I have tried using ComplexMap, but perhaps don't know how to fully utilize > it. > > Help would be appreciated. > > Diana > g[x_] := (Abs[#1^3/(1 + #1)] & )[E^x]; Block[{$DisplayFunction = Identity}, p1 = Plot3D[g[R + I*t], {R, -(1/2), 1}, {t, 0, 2*Pi}, ViewPoint -> {-1.3, 1, 1}, Mesh -> False, PlotPoints -> 64, Ticks -> {Automatic, Table[(k*Pi)/2, {k, 0, 4}], Automatic}, PlotRange -> {0, 12}]; p2 = ParametricPlot3D[{r, Pi, g[r + I*Pi]}, {r, -(1/2), 1}]; ]; Show[p1, p2]; Should give a first impression where your function has its maximum magnitude. -- Peter Pein 10245 Berlin