On radial distributions of Julia sets of Newton's method of solutions of complex differential equations

DOI10.3792/PJAA.92.1zbMath1372.30014OpenAlexW2205709462WikidataQ120800475 ScholiaQ120800475MaRDI QIDQ288535

Guowei Zhang, Lian-Zhong Yang

Publication date: 27 May 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1451330559

zbMATH Keywords

Julia setsRiccati equationsentire functions

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)

Related Items (2)

Julia limiting directions of entire solutions of complex differential equations ⋮ Unnamed Item

Cites Work

• On the connectivity of the Julia sets of meromorphic functions
• On the radial distribution of Julia sets of entire solutions of \(f^{(n)} + A(z)f = 0\)
• Nevanlinna theory and complex differential equations
• Entire functions that share one value with one or two of their derivatives
• On entire functions which share one value CM with their first derivative
• On limit directions of Julia sets of entire solutions of linear differential equations
• On radial distribution of Julia sets of meromorphic functions
• Some properties of Fatou and Julia sets of transcendental meromorphic functions
• Radial distributions of Julia sets of meromorphic functions
• Iteration of meromorphic functions
• Sets of Non-Normality in Iteration Theory
• Proof of Edrei's Spread Conjecture
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On radial distributions of Julia sets of Newton's method of solutions of complex differential equations