Some properties of certain close-to-convex harmonic mappings
Xiao-Yuan Wang, Zhi-Gang Wang, Jin-Hua Fan, Zhen-Yong Hu
TL;DR
This paper investigates specific properties of close-to-convex harmonic mappings, providing sharp estimates for Toeplitz determinants and improved Bohr's inequalities for subclasses with Ma-Minda convex analytic parts.
Contribution
It offers new sharp estimates for Toeplitz determinants and enhances Bohr's inequalities within subclasses of close-to-convex harmonic mappings.
Findings
Sharp estimates for Toeplitz determinants
Improved Bohr's inequalities for Ma-Minda convex subclasses
Enhanced understanding of close-to-convex harmonic mappings
Abstract
In this paper, we determine the sharp estimates for Toeplitz determinants of a subclass of close-to-convex harmonic mappings. Moreover, we obtain an improved version of Bohr's inequalities for a subclass of close-to-convex harmonic mappings, whose analytic parts are Ma-Minda convex functions.
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Taxonomy
TopicsAnalytic and geometric function theory · Optimization and Variational Analysis · Mathematical Inequalities and Applications