• Corpus ID: 239768272

# Bohr Phenomenon for $K$-Quasiconformal harmonic mappings and Logarithmic Power Series

@inproceedings{Gangania2021BohrPF,
title={Bohr Phenomenon for \$K\$-Quasiconformal harmonic mappings and Logarithmic Power Series},
author={Kamaljeet Gangania},
year={2021}
}
In this article, we establish the Bohr inequalities for the sense-preservingK-quasiconformal harmonic mappings defined in the unit disk D involving classes of Ma-Minda starlike and convex univalent functions, usually denoted by S∗(ψ) and C(ψ) respectively, and for log(f(z)/z) where f belongs to the Ma-Minda classes or satisfies certain differential subordination. We also estimate Logarithmic coefficient’s bounds for the functions in C(ψ) for the case ψ(D) be convex. 2010 AMS Subject…

## References

SHOWING 1-10 OF 33 REFERENCES
Bohr’s phenomenon for the classes of Quasi-subordination and K-quasiregular harmonic mappings
• Mathematics
• 2020
In this paper, we investigate the Bohr radius for $K$-quasiregular sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ such that the translated analytic part
Bohr Phenomenon for Locally Univalent Functions and Logarithmic Power Series
• Mathematics
Computational Methods and Function Theory
• 2019
In this article we prove Bohr inequalities for sense-preserving $K$-quasiconformal harmonic mappings defined in $\mathbb{D}$ and obtain the corresponding results for sense-preserving harmonic
Bohr radius for subordinating families of analytic functions and bounded harmonic mappings
• Mathematics
• 2014
Abstract The class consisting of analytic functions f in the unit disk satisfying f + α z f ′ + γ z 2 f ″ subordinated to some function h is considered. The Bohr radius for this class is obtained
Bohr phenomenon for analytic functions subordinate to starlike or convex functions
• Mathematics
Journal of Mathematical Analysis and Applications
• 2021
Abstract In this paper, we will obtain a new result on the Bohr phenomenon for analytic functions f which are subordinate to starlike functions g ∈ S ⁎ ( ϕ ) , where ϕ satisfies Ma-Minda conditions
On the Bohr inequality with a fixed zero coefficient
• Mathematics
Proceedings of the American Mathematical Society
• 2019
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 functions.
Bohr Inequality for Odd Analytic Functions
• Mathematics
• 2017
We determine the Bohr radius for the class of odd functions f satisfying $$|f(z)|\le 1$$|f(z)|≤1 for all $$|z|<1$$|z|<1, solving the recent problem of Ali et al. (J Math Anal Appl 449(1):154–167,
ON CERTAIN GENERALIZATIONS OF S∗(ψ)
We deal with different kinds of generalizations of S∗(ψ), the class of Ma-Minda starlike functions, in addition to a majorization result of C(ψ), the class of Ma-Minda convex functions, which are
Bohr Radius for Subordination and K-quasiconformal Harmonic Mappings
• Mathematics
Bulletin of the Malaysian Mathematical Sciences Society
• 2019
The present article concerns the Bohr radius for $K$-quasiconformal sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ for which the analytic part $h$ is subordinated
Refined Bohr-type inequalities with area measure for bounded analytic functions
• Mathematics
• 2020
In this paper, we establish five new sharp versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing Schwarz function in place of the initial coefficients in the
A note on Bohr's phenomenon for power series
• Mathematics
• 2017
Abstract Bohr's phenomenon, first introduced by Harald Bohr in 1914, deals with the largest radius r , 0 r 1 , such that the inequality ∑ k = 0 ∞ | a k | r k ≤ 1 holds whenever the inequality | ∑ k =