A. A. Ismagilov, A. V. Kayumova, I. R. Kayumov, S. Ponnusamy, “Bohr Inequalities in Some Classes of Analytic Functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 153,Pages <nobr>69

This article is cited in 7 papers

Bohr Inequalities in Some Classes of Analytic Functions

A. A. Ismagilov^a, A. V. Kayumova^a, I. R. Kayumov^a, S. Ponnusamy^b

^a Kazan (Volga Region) Federal University
^b Indian Institute of Technology Madras

Abstract: The paper is a review of the latest results of I. R. Kayumov and S. Ponnusami on the Bohr inequality. An exact estimate in the strong Bohr inequality is obtained and the Bohr–Rogosinsky radius for a certain class of subordinations is examined. All results are exact.

Keywords: Bohr inequality, Bohr radius, Rogosinski radius, analytic functions, harmonic maps.

UDC: 517.54

MSC: 30B10, 30A10