English

Some properties of certain close-to-convex harmonic mappings

Complex Variables 2021-12-21 v3

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.

Keywords

Cite

@article{arxiv.2110.11543,
  title  = {Some properties of certain close-to-convex harmonic mappings},
  author = {Xiao-Yuan Wang and Zhi-Gang Wang and Jin-Hua Fan and Zhen-Yong Hu},
  journal= {arXiv preprint arXiv:2110.11543},
  year   = {2021}
}

Comments

17 pages, 4 figures, to appear in Analysis and Mathematical Physics, 2022