A Generalized Bohr-Rogosinski Phenomenon

被引：1
|
作者：
Gangania, Kamaljeet [1 ]
Kumar, S. Sivaprasad [1 ]
机构：
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
来源：
IRANIAN JOURNAL OF SCIENCE | 2023年 / 47卷 / 01期
关键词：
Subordination; Radius problem; Starlike and convex functions; Bohr radius; Bohr-Rogosinski radius; SUBORDINATING FAMILIES; ANALYTIC-FUNCTIONS; POWER-SERIES; THEOREM;
D O I：
10.1007/s40995-022-01398-z
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study a generalized Bohr-Rogosinski sum for the Ma-Minda classes of starlike and convex functions. The phenomenon is also explored for the classes of starlike functions with respect to symmetric and conjugate points along with their convex cases. Further, the connection between the derived results and the known ones are established with the suitable examples.
引用
收藏
页码：187 / 198
页数：12
相关论文
共 50 条
  • [31] Bohr phenomenon for certain subclasses of harmonic mappings
    Allu, Vasudevarao
    Halder, Himadri
    BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 173
  • [32] BOHR PHENOMENON FOR CERTAIN CLASSES OF HARMONIC MAPPINGS
    Ahamed, Molla Basir
    Allu, Vasudevarao
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (04) : 1205 - 1225
  • [33] A note on Bohr's phenomenon for power series
    Ali, Rosihan M.
    Barnard, Roger W.
    Solynin, Alexander Yu.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) : 154 - 167
  • [34] Bohr's phenomenon for functions on the Boolean cube
    Defant, Andreas
    Mastylo, Mieczyslaw
    Perez, Antonio
    JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (11) : 3115 - 3147
  • [35] Bohr phenomenon for operator-valued functions
    Bhowmik, Bappaditya
    Das, Nilanjan
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2021, 64 (01) : 72 - 86
  • [36] Bohr neighborhoods in generalized difference sets
    Griesmer, John T.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2022, 29 (01):
  • [37] GENERALIZED BOHR COMPACTIFICATIONS - PRELIMINARY REPORT
    SHAPIRO, L
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A113 - A113
  • [38] Bohr phenomenon for subordinating families of certain univalent functions
    Bhowmik, Bappaditya
    Das, Nilanjan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (02) : 1087 - 1098
  • [39] Bohr phenomenon in weighted Hardy-Hilbert spaces
    Abu-Muhanna, Yusuf
    Gunatillake, Gajath
    ACTA SCIENTIARUM MATHEMATICARUM, 2012, 78 (3-4): : 517 - 528
  • [40] Bohr’s Phenomenon on a Regular Condenser in the Complex Plane
    Patrice Lassère
    Emmanuel Mazzilli
    Computational Methods and Function Theory, 2012, 12 : 31 - 43
12345