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In the [[mathematics|mathematical]] field of [[complex analysis]], a '''global analytic function''' is a generalization of the notion of an [[analytic function]] which allows for functions to have multiple [[branch cut|branches]]. Global analytic functions arise naturally in considering the possible [[analytic continuation]]s of an analytic function, since analytic continuations may have a non-trivial [[monodromy]]. They are one foundation for the theory of [[Riemann surface]]s.
==Definition==
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