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        general >> complex analysis >> One-to-one f
        
(Message started by: cain on Dec 21st, 2005, 7:26am)
Title: One-to-one f
Post by cain on Dec 21st, 2005, 7:26am
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.
Title: Re: One-to-one f
Post by Eigenray on Jan 31st, 2006, 7:12pm
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?


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