Meromorphic functions with several essential singularities
Andriy Kondratyuk
TL;DR
This paper introduces a new two-parameter characteristic for meromorphic functions on annuli and extends Nevanlinna's value distribution theory to encompass functions with multiple essential singularities.
Contribution
It develops a novel framework for analyzing meromorphic functions with several essential singularities using a two-parameter characteristic and extends classical value distribution theory.
Findings
Extended Nevanlinna theory to functions with multiple essential singularities.
Introduced a two-parameter characteristic for meromorphic functions on annuli.
Provided new insights into the value distribution of such functions.
Abstract
A two-parameter characteristic of functions meromorphic on annuli is introduced and an extension of the Nevanlinna value distribution theory for such functions is proposed.
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
TopicsMeromorphic and Entire Functions · Advanced Differential Equations and Dynamical Systems · Holomorphic and Operator Theory