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Montel's theorem
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==Relationship to theorems for entire functions== A heuristic principle known as [[Bloch's principle]] (made precise by [[Bloch's Principle#Zalcman's lemma|Zalcman's lemma]]) states that properties that imply that an [[entire function]] is constant correspond to properties that ensure that a family of holomorphic functions is normal. For example, the first version of Montel's theorem stated above is the analog of [[Liouville's theorem (complex analysis)|Liouville's theorem]], while the second version corresponds to [[Picard's theorem]].
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