       Re: graphing curves in the complex plane

• To: mathgroup at smc.vnet.net
• Subject: [mg75881] Re: [mg75825] graphing curves in the complex plane
• From: DrMajorBob <drmajorbob at bigfoot.com>
• Date: Sat, 12 May 2007 03:15:37 -0400 (EDT)
• References: <15272198.1178878666303.JavaMail.root@m35>
• Reply-to: drmajorbob at bigfoot.com

```You might try

RegionPlot[
Abs[(x + I y) E^(1 - x - I y)] <= 1, {x, -1, 1}, {y, -1, 1}]

or

RegionPlot[
Abs[x + I y] <= 1 && Abs[(x + I y) E^(1 - x - I y)] <= 1, {x, -1,
1}, {y, -1, 1}]

Bobby

On Fri, 11 May 2007 04:32:20 -0500, Stephanie S CavagnaroWong
<sscw at mit.edu> 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.
>
>

--

DrMajorBob at bigfoot.com

```

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