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wu :: forums    general    complex analysis (Moderators: towr, SMQ, Grimbal, Icarus, Eigenray, william wu, ThudnBlunder)    One-to-one f « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: One-to-one f  (Read 2287 times) cain Guest One-to-one f   « on: Dec 21st, 2005, 7:26am » Quote Modify 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: Posts: 1948 Re: One-to-one f   « Reply #1 on: Jan 31st, 2006, 7:12pm » Quote 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 Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth => complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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