On the growth of meromorphic functions
Volume 132 / 2024
Annales Polonici Mathematici 132 (2024), 7-24
MSC: Primary 30D35; Secondary 30D30
DOI: 10.4064/ap230519-15-9
Published online: 8 January 2024
Abstract
We consider the relationship between the number of separated maximum modulus points of a meromorphic function and Eremenko’s deviation $b(\infty ,f)$. The results of Eremenko are generalized. We also give examples showing that the estimates obtained are sharp.