TL;DR
This paper investigates the size of Wiman-Valiron disks in entire functions, providing bounds for their asymptotic behavior around points of maximum modulus, advancing understanding of complex function growth.
Contribution
It offers new estimates for the size of Wiman-Valiron disks, refining previous asymptotic analyses in complex analysis.
Findings
Derived upper bounds for disk sizes
Established lower bounds for disk sizes
Enhanced understanding of entire function asymptotics
Abstract
Wiman-Valiron theory and results of Macintyre about "flat regions" describe the asymptotic behavior of entire functions in certain disks around points of maximum modulus. We estimate the size of these disks for Macintyre's theory from above and below.
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