Geodesic
Bohr Inequalities in Some Classes of Analytic Functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 69-83

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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. 
@article{INTO_2018_153_a4,
     author = {A. A. Ismagilov and A. V. Kayumova and I. R. Kayumov and S. Ponnusamy},
     title = {Bohr {Inequalities} in {Some} {Classes} of {Analytic} {Functions}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {69--83},
     publisher = {mathdoc},
     volume = {153},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_153_a4/}
}
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A. A. Ismagilov; A. V. Kayumova; I. R. Kayumov; S. Ponnusamy. Bohr Inequalities in Some Classes of Analytic Functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 69-83. http://geodesic.mathdoc.fr/item/INTO_2018_153_a4/