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The problems of $n$-valence in some classes of analytic functions

The problems of $n$-valence in some classes of analytic functions

In this paper we determine some examples of the domains of $n$-valence for functions which are analytic with classical normalization and locally univalent. This problem has not been studied yet. It seems to be rather difficult. We formulate a few conjectures concerning some subclasses of typically real functions and odd …