Monday, June 12, 2017

complex analysis - Roots of a polynomial and its derivative

All roots of a complex polynomial have positive imaginary part. Prove that all roots of its derivative also have positive imaginary part.



It's not a homework. This issue has been proposed in the materials to prepare for exams.

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analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...