Geodesic
The Bohr phenomenon for analytic functions on shifted disks
Molla Basir Ahamed1 ; Vasudevarao Allu1 ; Himadri Halder1
1 Indian Institute of Technology Bhubaneswar, School of Basic Science
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 103-120.

Voir la notice de l'article provenant de la source Journal.fi

In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain $\Omega_{\gamma}=\bigg\{z\in\mathbb{C} \colon \bigg|z+\frac{\gamma}{1-\gamma}\bigg|<\frac{1}{1-\gamma}\bigg\}$ for $0\leq \gamma<1.$ We study improved Bohr radius, Bohr-Rogosinski radius and refined Bohr radius for the class of analytic functions defined in $\Omega_{\gamma}$, and obtain several sharp results.
DOI : 10.54330/afm.112561
Keywords: Simply connected domain, bounded analytic functions, improved Bohr radius, Bohr-Rogosinski radius, refined Bohr radius and Bohr inequality

Molla Basir Ahamed 1 ; Vasudevarao Allu 1 ; Himadri Halder 1

1 Indian Institute of Technology Bhubaneswar, School of Basic Science 
@article{AFM_2022_47_1_a6,
     author = {Molla Basir Ahamed and Vasudevarao Allu and Himadri Halder},
     title = {The {Bohr} phenomenon for analytic functions on shifted disks},
     journal = {Annales Fennici Mathematici},
     pages = {103--120},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2022},
     doi = {10.54330/afm.112561},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.54330/afm.112561/}
}
TY  - JOUR
AU  - Molla Basir Ahamed
AU  - Vasudevarao Allu
AU  - Himadri Halder
TI  - The Bohr phenomenon for analytic functions on shifted disks
JO  - Annales Fennici Mathematici
PY  - 2022
SP  - 103
EP  - 120
VL  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.54330/afm.112561/
DO  - 10.54330/afm.112561
LA  - en
ID  - AFM_2022_47_1_a6
ER  - 
%0 Journal Article
%A Molla Basir Ahamed
%A Vasudevarao Allu
%A Himadri Halder
%T The Bohr phenomenon for analytic functions on shifted disks
%J Annales Fennici Mathematici
%D 2022
%P 103-120
%V 47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.54330/afm.112561/
%R 10.54330/afm.112561
%G en
%F AFM_2022_47_1_a6
Molla Basir Ahamed; Vasudevarao Allu; Himadri Halder. The Bohr phenomenon for analytic functions on shifted disks. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 103-120. doi : 10.54330/afm.112561. http://geodesic.mathdoc.fr/articles/10.54330/afm.112561/

Cité par Sources :