Work

On convergence of formal Dulac series, satisfying an algebraic $q$-difference equation

Year: 2026

Type: preprint

Abstract: An algebraic $q$-difference equation for $|q|>1$ is considered. A sufficient condition is proposed for the convergence of a solution to such an equation in the form of a Dulac series within a sector centered at the origin. An example illustrating the application of this sufficient condition is provided.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.31322

Authors: Gaianov, Nikita V., Parusnikova, Anastasia V.

Language: English

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Research University Higher School of Economics

OpenAlex ID: W7214617387

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