Some remarks on the residual Julia set of transcendental meromorphic functions
Abstract The residual Julia set of a transcendental meromorphic function is the subset of the Julia set consisting of all points (equivalently, all components) that do not lie on the boundary of any Fatou component. In this paper, we establish several conditions ensuring that the residual Julia set of a transcendental meromorphic function is non-empty.
Authors
- Patricia Domínguez (ORCID: https://orcid.org/0000-0003-1297-9300)
- Laura Cano
- Wendy Rodríguez
Institutions
- Benemérita Universidad Autónoma de Puebla (MX)
Publication Details
- Journal
- Boletín de la Sociedad Matemática Mexicana
- Published
- 2026-10-31
- DOI
- https://doi.org/10.1007/s40590-026-00976-0
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00