A generalization of the Bohr inequality and its applications

S Kumar - Complex Variables and Elliptic Equations, 2023 - Taylor & Francis
Bohr's classical theorem and its generalizations are now active areas of research and have
been the source of investigations in numerous function spaces. In this article, we study a …

Bohr-Rogosinski type inequalities for concave univalent functions

V Allu, V Arora - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
In this paper, we generalize and investigate the Bohr-Rogosinski inequalities and the Bohr-
Rogosinski property for the subfamilies of univalent functions defined on unit disk D:={z∈ C …

Bohr–Rogosinski Phenomenon for and

K Gangania, SS Kumar - Mediterranean Journal of Mathematics, 2022 - Springer
In Geometric function theory, occasionally, attempts have been made to solve a particular
problem for the Ma-Minda classes, S∗(ψ) and C (ψ) of univalent starlike and convex …

Bohr inequalities for certain integral operators

S Kumar, SK Sahoo - Mediterranean Journal of Mathematics, 2021 - Springer
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A generalization of the Bohr–Rogosinski sum

S Kumar, SK Sahoo - Lobachevskii Journal of Mathematics, 2022 - Springer
In this paper, we investigate the classical Bohr sum for analytic functions defined on the unit
disk in a general setting. In addition, we discuss a generalization of the Bohr–Rogosinski …

Bohr operator on operator-valued polyanalytic functions on simply connected domains

V Allu, H Halder - Canadian Mathematical Bulletin, 2023 - cambridge.org
In this article, we study the Bohr operator for the operator-valued subordination class $ S (f)
$ consisting of holomorphic functions subordinate to f in the unit disk $\mathbb …

A Generalized Bohr–Rogosinski Phenomenon

K Gangania, SS Kumar - Iranian Journal of Science, 2023 - Springer
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 …

Sharp Bohr radius constants for certain analytic functions

S Anand, NK Jain, S Kumar - Bulletin of the Malaysian Mathematical …, 2021 - Springer
The Bohr radius for a class GG consisting of analytic functions f (z)= ∑ _ n= 0^ ∞ a_nz^ nf
(z)=∑ n= 0∞ anzn in unit disc D={z ∈ C:| z|< 1\} D= z∈ C:| z|< 1 is the largest r^* r∗ such …

Bohr-Rogosinski phenomenon for and

K Gangania, SS Kumar - arxiv preprint arxiv:2105.08684, 2021 - arxiv.org
In Geometric function theory, occasionally attempts have been made to solve a particular
problem for the Ma-Minda classes, $\mathcal {S}^*(\psi) $ and $\mathcal {C}(\psi) $ of …