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Line 1: 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> == Examples== Line 29: == References== {{Reflist}} * John B. Conway. ''Functions of One Complex Variable I''. Springer-Verlag, New York, 1978. {{ISBN\|0-387-90328-3}}. * John B. Conway. ''Functions of One Complex Variable II''. Springer-Verlag, New York, 1996. {{ISBN\|0-387-94460-5}}. {{PlanetMath attribution\|title=univalent analytic function\|id=5633}}

Univalent function: Difference between revisions