#211 · Complex Analysis · Cauchy's theorem

Bounded and entire

Prove Liouville's theorem: if $f$ is entire and $∣ f (z) ∣ \leq M$ for all $z$ , then $f$ is constant.

~15 minProof · checked by AICauchy estimates

Classical — J. Liouville (1844; the result is due to Cauchy)

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