Bohr-Rogosinski inequalities involving Schwarz functions
Complex Variables
2023-12-12 v1
Abstract
In this paper, we study Bohr's inequality and refined versions of Bohr-Rogosinski inequalities involving Schwarz functions. Moreover, we establish a version of multidimensional analogue of Bohr inequality and Bohr-Rogosinski inequalities involving Schwarz functions. Finally, we establish a multidimensional analogue of the refined version of Bohr inequalities with the initial coefficient being zero. All the results are proved to be sharp.
Keywords
Cite
@article{arxiv.2312.05635,
title = {Bohr-Rogosinski inequalities involving Schwarz functions},
author = {Sabir Ahammed and Molla Basir Ahamed},
journal= {arXiv preprint arXiv:2312.05635},
year = {2023}
}