• 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
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
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
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
  • H. Hamada
  • 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
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
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
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
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
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 =
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