Year: 2025
Type: article
Abstract: We consider a sequence of polynomials with uniformly bounded zeros and , for , satisfying certain asymptotic conditions. We prove that the function sequence is uniformly convergent in . The non‐autonomous filled Julia set generated by the polynomial sequence is defined and shown to be compact and regular with respect to the Green function. Our toy example is generated by , where is the classical Chebyshev polynomial of degree .
Source: Mathematika
DOI: 10.1112/mtk.70025
Authors: Marta Kosek, Małgorzata Stawiska
Institutions: Jagiellonian University, American Mathematical Society
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Uniwersytet Warszawski
OpenAlex ID: W4410716910