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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>[[John B. Conway]] (1996) ''Functions of One Complex Variable II'', chapter 14: Conformal equivalence for simply connected regions, page 32, Springer-Verlag, New York, {{ISBN|0-387-94460-5}}. Definition 1.12: "A function on an open set is ''univalent'' if it is analytic and one-to-one."</ref>
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