Journal of Mathematical Sciences

, Volume 207, Issue 6, pp 825–831 | Cite as

Bounded Holomorphic Functions Covering No Concentric Circles

  • V. N. Dubinin

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


Boundary Point Sharp Estimate Schwarzian Derivative Arbitrary Real Number Distortion Theorem 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Far Eastern Federal UniversityVladivostokRussia

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