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- W4301339924 abstract "In 1970 G. R. MacLane asked if it is possible for a locally univalent function in the class $mathcal{A}$ to have an arc tract. This question remains open, but several results about it have been given. We significantly strengthen these results, in particular replacing the condition of local univalence by the more general condition that the set of critical values is bounded. Also, we adapt a recent powerful technique of C. J. Bishop in order to show that there is a function in the Eremenko-Lyubich class for the disc that is not in the class $mathcal{A}$." @default.
- W4301339924 created "2022-10-05" @default.
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- W4301339924 date "2016-11-10" @default.
- W4301339924 modified "2023-09-28" @default.
- W4301339924 title "The MacLane class and the Eremenko-Lyubich class" @default.
- W4301339924 doi "https://doi.org/10.48550/arxiv.1611.03292" @default.
- W4301339924 hasPublicationYear "2016" @default.
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