Is it possible to have an entire function $f$ which is not a polynomial, and a disk $D_\epsilon(0)$ (for some $\epsilon$) such that the restriction of $f$ to $D_\epsilon(0)$ is injective?
2026-03-25 06:04:49.1774418689
Injective restriction of entire functions
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Every entire function $f$ such that $f'(0)\neq0$ has that property, for some $\varepsilon\neq0$.