       Re: graphing curves in the complex plane

• To: mathgroup at smc.vnet.net
• Subject: [mg75844] Re: graphing curves in the complex plane
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Fri, 11 May 2007 06:30:14 -0400 (EDT)
• Organization: Uni Leipzig
• References: <f21dvn\$6c5\$1@smc.vnet.net>
• Reply-to: kuska at informatik.uni-leipzig.de

Hi,

Assuming[Element[{x, y}, Reals],
With[{z = x + I*y},
eqn = FullSimplify /@ (Abs[z *Exp[1 - z]] == 1)
]
]
ContourPlot[Evaluate[Subtract @@ eqn],
{x, -1, 1}, {y, -1, 1}, Contours -> {0}
]

??

Regards
Jens

Stephanie S CavagnaroWong wrote:
> Hi,
>
> I am trying to graph Szego's curve, S = {z in C: |ze^(1-z)| = 1, |z| <=
> 1} in the complex plane, and I cannot figure out how to do this.  I have
> tried many variations of the various Plot functions with no success.
> Any advice would be appreciated!
>
> I am relatively new to Mathematica, so I apologize if this is a simple
> question -- I have done much websearching, including in the MathGroup
> archives, and could not find an answer.
>
> Thank you very much,
> Stephanie Wong.
>

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