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Topic: Onetoone f (Read 2050 times) 

cain
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Show that if f has a simple pole at z0, then there exists a punctured neighborhood of z0 on which f is onetoone.


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Eigenray
wu::riddles Moderator Uberpuzzler
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Re: Onetoone f
« Reply #1 on: Jan 31^{st}, 2006, 7:12pm » 
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Oops, this got old. Anyway, for completeness, consider: 1) When is an analytic function locally onetoone? 2) What can you say about the function 1/f(z) near z_{0}?


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