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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 153, Pages 69–83 (Mi into364)  
This article is cited in 6 scientific papers (total in 6 papers)

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
Full-text PDF (243 kB) Citations (6)
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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.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 3, Pages 360–373
DOI: https://doi.org/10.1007/s10958-020-05165-6
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30B10, 30A10
Language: Russian
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. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 69–83; J. Math. Sci. (N. Y.), 252:3 (2021), 360–373
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. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 69--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into364}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903392}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 3
\pages 360--373
\crossref{https://doi.org/10.1007/s10958-020-05165-6}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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