On the Bohr inequality with a fixed zero coefficient
By S. A. Alkhaleefah, Ilgiz R. Kayumov, Saminathan Ponnusamy. Proceedings of the American Mathematical Society, 2019
124 citations recorded by the source corpus.
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. As a consequence, we improve and obtain the exact version of the classical Bohr’s inequality for bounded analytic functions and also for K K -quasiconformal harmonic mappings by replacing the constant term by the absolute value of the analytic part of the given function. We also obtain the Bohr radius for the subordination family of odd analytic functions.
View Paper: https://www.semanticscholar.org/paper/f7b8855838cea99e771b4a949bbd319e7ce17124
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
Citations in the corpus
- Improved Bohr's phenomenon in quasi-subordination classes (2019, methodology): “See [18,20,21] and the recent paper [4] in connection with Bohr’s radius.”
- Bohr phenomenon for certain subclasses of harmonic mappings (2020, background): “For more intriguing aspects of Bohr phenomenon we refer to [5, 11, 12, 19, 26, 31] and the references therein.”
- Bohr Radius for Subordination and K-quasiconformal Harmonic Mappings (2019, methodology): “We refer to [18] for Bohr’s inequality for the class of harmonic ν-Bloch-type mappings as a generalization of harmonic ν-Bloch mappings and to [5] for the class of quasi-subordinations.”