Fatou, Julia, and escaping sets in holomorphic (sub)semigroup dynamics

DOI10.3906/mat-1810-133zbMath1415.37068OpenAlexW2933302744WikidataQ120798416 ScholiaQ120798416MaRDI QIDQ5743028

Ajaya Singh, Bishnu Hari Subedi

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1810-133

zbMATH Keywords

finite indexescaping setfundamental setRees indextranscendental semigroupcofinite indexpartial fundamental set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• The dynamics of semigroups of transcendental entire functions. II
• DETERMINING IDEALS OF A GIVEN FINITE INDEX IN A FINITELY PRESENTED SEMIGROUP
• Fatou-Julia theory on transcendental semigroups
• Fatou-Julia theory on transcendental semigroups II
• Structure Results for Transitive, Untwisted, Superlinked Finite Covers
• The Dynamics of Semigroups of Rational Functions I
• Omitted Values in Domains of Normality
• Escaping Set of Hyperbolic Semigroup

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