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)
• 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.

```

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