On zeros of analytic functions satisfying non-radial growth conditions
A. Borichev, L. Golinskii, S. Kupin
TL;DR
This paper refines conditions on the zero distribution of analytic functions with non-radial growth constraints, extending prior results to functions on the unit disk and complex plane with cuts.
Contribution
It provides improved Blaschke-type necessary conditions for zeros of analytic functions under non-radial growth restrictions, extending previous work.
Findings
Refined zero distribution conditions for analytic functions
Extended results to functions on the complex plane with cuts
Improved understanding of growth restrictions on zeros
Abstract
Extending the results of Borichev--Golinskii--Kupin [2009], we obtain refined Blaschke-type necessary conditions on the zero distribution of analytic functions on the unit disk and on the complex plane with a cut along the positive semi-axis satisfying some non-radial growth restrictions.
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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic and geometric function theory · Holomorphic and Operator Theory