Abstract
This paper attempts to determine the “largest” sets of local univalence for a given class and the “largest” open sets in which all functions belonging to a given class are univalent. We establish general properties of sets of univalence for analytic functions with typical normalization. Moreover, we determine some examples of the sets of univalence for some particular subclasses of analytic functions.
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Koczan, L., Tra̧bka-Wiȩcław, K. Sets of Univalence in Some Classes of Analytic Functions. Mediterr. J. Math. 14, 183 (2017). https://doi.org/10.1007/s00009-017-0985-8
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DOI: https://doi.org/10.1007/s00009-017-0985-8