Transcendental entire functions whose Julia set is the complex plane

DOI10.1080/17476930701623099zbMath1134.37020OpenAlexW2098998857WikidataQ123236959 ScholiaQ123236959MaRDI QIDQ5443491

Franz Peherstorfer, Anand Prakash Singh

Publication date: 21 February 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701623099

zbMATH Keywords

Schwarzian derivativecritical points

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

• On iteration of a function in the sine family
• Julia set of the function \(z\exp(z+\mu)\)
• Julia set of the function \(z\text{ exp}(z+\mu)\). II
• LITTLEWOOD'S MULTIPLE FORMULA FOR SPIN CHARACTERS OF SYMMETRIC GROUPS
• Julia sets and bifurcation diagrams for exponential maps
• On iterates of e^z
• Stable Orbits and Bifurcation of Maps of the Interval
• Iteration of meromorphic functions
• Entire functions of slow growth whose Julia set coincides with the plane

This page was built for publication: Transcendental entire functions whose Julia set is the complex plane