Complex plotting

*To*: mathgroup at smc.vnet.net*Subject*: [mg52270] Complex plotting*From*: "Diana" <diana53xiii at earthlink.remove13.net>*Date*: Sat, 20 Nov 2004 03:41:41 -0500 (EST)*Reply-to*: "Diana" <diana53xiii at earthlink.remove13.net>*Sender*: owner-wri-mathgroup at wolfram.com

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 -- ===================================================== "God made the integers, all else is the work of man." L. Kronecker, Jahresber. DMV 2, S. 19.