ON THE ESCAPING SET OF MEROMORPHIC FUNCTIONS WITH DIRECT TRACTS

DOI10.1017/S0004972715000180zbMath1320.30053OpenAlexW2167479384MaRDI QIDQ5501750

Jian-Hua Zheng, Zu-Xing Xuan

Publication date: 14 August 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715000180

zbMATH Keywords

meromorphic functionescaping setdirect tract

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

• Escaping points of meromorphic functions with a finite number of poles
• On fixed-points and singular values of transcendental meromorphic functions
• On multiply-connected Fatou components in iteration of meromorphic functions
• Eine Ungleichung der Potentialtheorie und ihre Anwendung in der Theorie der meromorphen Funktionen
• Slow escaping points of meromorphic functions
• Singularities of meromorphic functions with Baker domains
• Dynamics of meromorphic functions with direct or logarithmic singularities
• Proper holomorphic self-maps of plane regions
• Fast escaping points of entire functions
• Dimensions of Julia sets of meromorphic functions with finitely many poles
• On multiply connected wandering domains of meromorphic functions

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