Bohr's inequality for large functions

TL;DR

This paper establishes that the Bohr radius for large functions is exactly e^{-π}, providing a precise value for this classical concept in complex analysis.

Contribution

The paper determines the exact Bohr radius for large functions, advancing the understanding of Bohr's inequality in complex analysis.

Findings

Bohr radius for large functions is e^{-π}

Provides a precise value for Bohr's inequality

Enhances understanding of function bounds in complex analysis

Abstract

We prove that the Bohr' radius for large functions is $e^{-\pi }.$