Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Complex analysis question
Replies: 10   Last Post: Jan 2, 2013 2:47 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
J. Antonio Perez M.

Posts: 2,736
Registered: 12/13/04
Re: Complex analysis question
Posted: Jan 2, 2013 9:51 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Wednesday, January 2, 2013 2:19:02 PM UTC+2, ksoileau wrote:
> Does anyone know of an easy proof of the following:
>
>
>
> If f is analytic inside and on a contour C, and f has constant modulus inside and on C, then f is constant inside and on C.
>
>
>
> Thanks for any replies!
>
> Kerry M. Soileau


Hints:

(1) Develop f as a power series around any point c on the interior of C

(2) Find the coefficient of (1) using Cauchy's Integral Theorem and Cauchy's Evaluation Theorem and use that |f'(z)|=0 (why)




Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.