Zero (sub-)sequences of entire functions
Bulat Khabibullin, Galiya Talipova, Farkhat Khabibullin
TL;DR
This paper establishes conditions for when a sequence of points can be zeros of an entire function with controlled growth, advancing understanding of zero distributions in complex analysis.
Contribution
It introduces new criteria for zero subsequences of entire functions with growth restrictions, expanding classical results.
Findings
Derived conditions for zero subsequences with growth constraints
Extended classical zero distribution theorems
Provided examples illustrating the criteria
Abstract
We announce conditions under which a given sequence of points on the complex plane is a subsequence of zeros of an entire function with weight restrictions on growth.
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Taxonomy
TopicsMeromorphic and Entire Functions · Advanced Differential Equations and Dynamical Systems