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- #1

- Jan 26, 2012

- 995

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**: Prove that all entire functions in $\Bbb{C}$ that are also injective take on the form $f(z)=az+b$ with $a,b\in\Bbb{C}$ and $a\neq 0$.**

Problem

Problem

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**Hint**: Apply the Casorati-Weierstrass theorem to $f(1/z)$.

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