Browsing by Subject "Bohr inequality"

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  • Bohr Inequalities in Some Classes of Analytic Functions 
    Ismagilov A.A.; Kayumova A.V.; Kayumov I.R.; Ponnusamy S. (2021)
    The paper is a review of the latest results of I. R. Kayumov and S. Ponnusamy on the Bohr inequality. An exact estimate in the strong Bohr inequality is obtained and the Bohr–Rogosinski radius for a certain class of ...
  • Bohr–Rogosinski Inequalities for Bounded Analytic Functions 
    Alkhaleefah S.A.; Kayumov I.R.; Ponnusamy S. (2020)
    © 2020, Pleiades Publishing, Ltd. Abstract: In this paper we first consider another version of the Rogosinski inequality for analytic functions (Formula presented.) in the unit disk (Formula presented.), in which we replace ...
  • On the Bohr inequality with a fixed zero coefficient 
    Alkhaleefah S.; Kayumov I.; Ponnusamy S. (2019)
    © 2019 American Mathematical Society. In this paper, we introduce the study of the Bohr phenomenon for a quasisubordination family of functions, and establish the classical Bohr's inequality for the class of quasisubordinate ...
  • О НЕРАВЕНСТВЕ БОРА С ФИКСИРОВАННЫМ НУЛЕВЫМ КОЭФФИЦИЕНТОМ 
    Алхалифах Сераж Абдулразак; Каюмов Ильгиз Рифатович; Поннусами Саминатан (2017)
    В работе получена улучшенная версия неравенства Бора для аналитических функций, определенных в единичном круге D = {z ∈C : |z| ≤ 1}.

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