Bohr type inequalities for functions with a multiple zero at the origin
Complex Variables
2020-06-12 v1
Abstract
Recently, there has been a number of good deal of research on the Bohr's phenomenon in various setting including a refined formulation of his classical version of the inequality. Among them, in \cite{PaulPopeSingh-02-10} the authors considered the cases in which the above functions have a multiple zero at the origin. In this article, we present a refined version of Bohr's inequality for these cases and give a partial answer to a question from \cite{PaulPopeSingh-02-10} for the revised setting.
Keywords
Cite
@article{arxiv.2006.06441,
title = {Bohr type inequalities for functions with a multiple zero at the origin},
author = {Saminathan Ponnusamy and Karl-Joachim Wirths},
journal= {arXiv preprint arXiv:2006.06441},
year = {2020}
}
Comments
10 pages; To appear in Computational Methods and Function Theory (2020)