Univalent function: Difference between revisions

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Closing stale August merge proposal; uncontested objection and no support with stale discussion; see Talk:Injective function#Proposed merge of Univalent function into Injective function
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{{Other uses|Univalent (disambiguation){{!}}Univalent}}
{{Merge to|Injective function|discuss=Talk:Injective function#Proposed merge of Univalent function into Injective function|date=August 2022}}
 
In [[mathematics]], in the branch of [[complex analysis]], a [[holomorphic function]] on an [[open subset]] of the [[complex plane]] is called '''univalent''' if it is [[Injective function|injective]].<ref>{{harv|Conway|1995|page=32|loc=chapter 14: Conformal equivalence for simply connected regions, Definition 1.12: "A function on an open set is ''univalent'' if it is analytic and one-to-one."}}</ref><ref>{{harv|Nehari|1975}}</ref>