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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 153, Pages 69–83 (Mi into364)  

Bohr Inequalities in Some Classes of Analytic Functions

A. A. Ismagilova, A. V. Kayumovaa, I. R. Kayumova, S. Ponnusamyb

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

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00282_a
РФФИ/Р-163
The work of A. V. Kayumova was supported by the Russian Foundation for Basic Research (project № 17-01-00282). The study of S. Ponnusami was supported by the project of the Russian Foundation for Basic Research RFBR/R-163 in the Department of Science and Technology of the Republic of India.


Full text: PDF file (243 kB)
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Bibliographic databases:
UDC: 517.54
MSC: 30B10, 30A10

Citation: A. A. Ismagilov, A. V. Kayumova, I. R. Kayumov, S. Ponnusamy, “Bohr Inequalities in Some Classes of Analytic Functions”, Complex analysis, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 69–83

Citation in format AMSBIB
\Bibitem{IsmKayKay18}
\by A.~A.~Ismagilov, A.~V.~Kayumova, I.~R.~Kayumov, S.~Ponnusamy
\paper Bohr Inequalities in Some Classes of Analytic Functions
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 69--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into364}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3903392}


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