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Bounded Holomorphic Functions Covering No Concentric Circles

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Growth and distortion theorems for the functions indicated in the title are proved by the symmetrization method. Sharp estimates for the moduli of the functions considered and their derivatives at inner and boundary points are established, and an estimate for the Schwarzian derivative is obtained. Bibliography: 14 titles

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Authors and Affiliations

  1. Far Eastern Federal University, Vladivostok, Russia

    V. N. Dubinin

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  1. V. N. Dubinin
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Correspondence to V. N. Dubinin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 429, 214, pp. 34–43.

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Dubinin, V.N. Bounded Holomorphic Functions Covering No Concentric Circles. J Math Sci 207, 825–831 (2015). https://doi.org/10.1007/s10958-015-2406-5

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  • DOI: https://doi.org/10.1007/s10958-015-2406-5

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