On distribution of zeros of holomorphic functions: Blaschke-type conditions
Bulat Khabibullin, Nargiza Tamindarova
TL;DR
This paper introduces a new set of Blaschke-type conditions that characterize the distribution of zeros for holomorphic functions across various domains in the extended complex plane.
Contribution
It presents a generalized scale of Blaschke-type conditions applicable to zeros of holomorphic functions on arbitrary domains.
Findings
Established new Blaschke-type conditions for zero distributions.
Applicable to holomorphic functions on any domain in the extended complex plane.
Provides a framework for analyzing zero distribution in complex analysis.
Abstract
We announce a scale of Blaschke-type conditions for subsequences of zeros of holomorphic functions on arbitrary domains in the extended complex plane.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Analytic and geometric function theory