scholarly journals Sharp Bohr Radius Constants for Certain Analytic Functions

2021 ◽  
Vol 44 (3) ◽  
pp. 1771-1785
Author(s):  
Swati Anand ◽  
Naveen Kumar Jain ◽  
Sushil Kumar
Keyword(s):  
Analytic Functions ◽  
Bohr Radius

Bohr Radius for Classes of Analytic Functions

2019 ◽  
Vol 74 (4) ◽  
Author(s):  
Rosihan M. Ali ◽  
Naveen Kumar Jain ◽  
Vaithiyanathan Ravichandran
Keyword(s):  
Analytic Functions ◽  
Bohr Radius

scholarly journals On Bohr Radius of Certain Analytic Functions with Negative Coefficients

2021 ◽  
pp. 319-327
Author(s):  
Bushra Kanwal ◽  
Khalida Inayat Noor
Keyword(s):  
Analytic Functions ◽  
Bessel Functions ◽  
Bohr Radius ◽  
Novel Strategy

The key purpose of this paper is to investigate the Bohr radius for several subclasses of analytic functions with negative coefficients. Our investigation with the Bohr radius correlates with the classes of generalized Janowski type functions. Under this novel strategy, we develop Bohr’s phenomenon for a generalized class associated with q-functions having q ∈ (0, 1). In the applications viewpoint, our consequences have shown the applicability in the class inaugurated by Bessel functions.

scholarly journals Bohr radius for certain classes of analytic functions

2018 ◽  
pp. 109-118 ◽  
Author(s):  
Sarita Agrawal ◽  
Manas Ranjan Mohapatra
Keyword(s):  
Analytic Functions ◽  
Bohr Radius

scholarly journals The Bohr phenomenon for analytic functions on shifted disks

2021 ◽  
Vol 47 (1) ◽  
pp. 103-120
Author(s):  
Molla Basir Ahamed ◽  
Vasudevarao Allu ◽  
Himadri Halder
Keyword(s):  
Connected Domain ◽  
Analytic Functions ◽  
Bohr Radius ◽  
Simply Connected Domain ◽  
Simply Connected

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.

scholarly journals Bohr Radius Problems for Some Classes of Analytic Functions Using Quantum Calculus Approach

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 623 ◽  
Author(s):  
Om Ahuja ◽  
Swati Anand ◽  
Naveen Kumar Jain
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Bohr Radius ◽  
Quantum Calculus ◽  
Radius Problems

The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q-starlike (q-convex) functions of order α . The Bohr radius is also determined for a generalized class of q-Janowski starlike and q-Janowski convex functions with negative coefficients.

scholarly journals Bohr radius for subordinating families of analytic functions and bounded harmonic mappings

2014 ◽  
Vol 420 (1) ◽  
pp. 124-136 ◽  
Author(s):  
Y. Abu Muhanna ◽  
Rosihan M. Ali ◽  
Zhen Chuan Ng ◽  
Siti Farah M. Hasni
Keyword(s):  
Analytic Functions ◽  
Harmonic Mappings ◽  
Bohr Radius
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