every analytic function is locally 1-1 whenever its derivative is nonzero): Let Ω⊂ℂΩ⊂C be open, and...

every analytic function is locally 1-1 whenever its derivative is nonzero): Let Ω⊂ℂΩ⊂C be open, and let ?:Ω→ℂf:Ω→C be 1-1 and analytic on Ω Then ?′(?0)≠0f′(z0)≠0 for every ?0∈Ωz0∈Ω.

by contray suppose f'(z)=0

Expert Solution

Colby Messinger answered 2 years ago

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