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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2014 Volume 429, Pages 34–43 (Mi znsl6065)

This article is cited in 14 papers

Bounded holomorphic functions covering no concentric circles

V. N. Dubininab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia

Abstract: By the symmetrization method, the growth and distortion theorems for the functions mentioned in the title of the paper are proved. Precise estimates for the moduli of such functions and of their derivatives at inner and boundary points and an estimate for the Schwarzian derivative are given.

Key words and phrases: holomorphic function, distortion theorem, Schwarz lemma, Schwarz derivative.

UDC: 517.54

Received: 01.08.2014


 English version:
Journal of Mathematical Sciences (New York), 2015, 207:6, 825–831

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