On Fatou sets containing Baker omitted value

DOI10.1007/s10884-021-10060-yzbMath1530.37067arXiv2008.09797WikidataQ115383015 ScholiaQ115383015MaRDI QIDQ6174777

Subhasis Ghora, Tarakanta Nayak, Satyajit Sahoo

Publication date: 17 August 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09797

zbMATH Keywords

Fatou setHerman ringstranscendental meromorphic functionsBaker omitted value

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of one complex variable (general theory) (30D30) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Critical orbits for holomorphic dynamical systems (37F12)

Related Items (1)

Rotation domains and stable Baker omitted value

Cites Work

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• On the singularities of the inverse to a meromorphic function of finite order
• On periods of Herman rings and relevant poles
• On Fatou components and omitted values
• Omitted values and dynamics of meromorphic functions
• Dynamics of meromorphic functions with direct or logarithmic singularities
• Dynamics of exp (z)
• Iterates of meromorphic functions III: Preperiodic domains
• Periodic Fatou Components of Meromorphic Functions
• Iteration of meromorphic functions
• Dynamics of the family 𝜆tan𝑧
• SINGULARITIES AND LIMIT FUNCTIONS IN ITERATION OF MEROMORPHIC FUNCTIONS
• On multiply connected wandering domains of meromorphic functions
• Baker omitted value

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