Fixed points, symmetries, and bounds for basins of attraction of complex trigonometric functions

DOI10.1155/2020/1853467zbMath1486.30078OpenAlexW3017811005MaRDI QIDQ779954

G. Brock Williams, Roger W. Barnard, Kasey Bray, Jerry Dwyer

Publication date: 14 July 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1853467

zbMATH Keywords

trigonometric functionsNewton map

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Dynamics of the family 𝜆tan𝑧
• Conjugacies of the Newton maps of rational functions
• Area of Fatou sets of trigonometric functions
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