wu :: forums
wu :: forums - One-to-one f

Welcome, Guest. Please Login or Register.
Mar 28th, 2023, 5:26am

RIDDLES SITE WRITE MATH! Home Home Help Help Search Search Members Members Login Login Register Register
   wu :: forums
   general
   complex analysis
(Moderators: Eigenray, william wu, ThudnBlunder, Icarus, SMQ, towr, Grimbal)
   One-to-one f
« Previous topic | Next topic »
Pages: 1  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print
   Author  Topic: One-to-one f  (Read 2050 times)
cain
Guest

Email

One-to-one f  
« on: Dec 21st, 2005, 7:26am »
Quote Quote Modify Modify Remove Remove

Show that if f has a simple pole at z0, then there exists a punctured neighborhood of z0 on which f is one-to-one.
IP Logged
Eigenray
wu::riddles Moderator
Uberpuzzler
*****






   


Gender: male
Posts: 1948
Re: One-to-one f  
« Reply #1 on: Jan 31st, 2006, 7:12pm »
Quote Quote Modify Modify

Oops, this got old.  Anyway, for completeness, consider:
1) When is an analytic function locally one-to-one?
2) What can you say about the function 1/f(z) near z0?
IP Logged
Pages: 1  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print

« Previous topic | Next topic »

Powered by YaBB 1 Gold - SP 1.4!
Forum software copyright 2000-2004 Yet another Bulletin Board