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.
No takes yet. Share an insight, caveat, or question.
Domínguez et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: