English

The Bohr-type operator on analytic functions and sections

Complex Variables 2021-04-23 v1

Abstract

In this paper, firstly we prove two refined Bohr-type inequalities associated with area for bounded analytic functions f(z)=n=0anznf(z)=\sum_{n=0}^{\infty}a_{n}z^{n} in the unit disk. Later, we establish the Bohr-type operator on analytic functions and sections.

Keywords

Cite

@article{arxiv.2104.11143,
  title  = {The Bohr-type operator on analytic functions and sections},
  author = {Yong Huang and Ming-Sheng Liu and Saminathan Ponnusamy},
  journal= {arXiv preprint arXiv:2104.11143},
  year   = {2021}
}

Comments

14 pages

R2 v1 2026-06-24T01:26:11.040Z