Symmetries of the Julia sets of König's methods for polynomials

DOI10.1016/j.jmaa.2015.06.066zbMath1360.37121OpenAlexW837081389WikidataQ123296190 ScholiaQ123296190MaRDI QIDQ495194

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.066

zbMATH Keywords

Julia setgroup of symmetriesKönig's methods

Mathematics Subject Classification ID

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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• HOW IS THE DYNAMICS OF KÖNIG ITERATION FUNCTIONS AFFECTED BY THEIR ADDITIONAL FIXED POINTS?
• Translation invariant Julia sets
• Dynamics in One Complex Variable. (AM-160)
• Generalization of Taylor's theorem and Newton's method via a new family of determinantal interpolation formulas and its applications

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