I want to find all entire bijective holomorphic functions $f:\mathbb{C}\rightarrow \mathbb{C}$. There are
- identity function
-polynomials with odd degree
Can I find an a way more abstract function to satisfy my conditions?
2026-03-25 15:45:24.1774453524
bijective holomorphic entire functions
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Polynomials of odd degree $>1$ are not injective. The only injective entire functions are of the type $az+b$, $a\neq0$.