Meromorphic iterative roots of linear fractional functions

DOI10.1007/s11425-009-0013-yzbMath1179.30023OpenAlexW1967217788MaRDI QIDQ1041564

Li Chen, Yong-guo Shi

Publication date: 2 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0013-y

zbMATH Keywords

iterative functional equationmatrix equationmeromorphic solutionlinear fractional function

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (4)

Iterative roots with circuits for piecewise continuous and globally periodic maps ⋮ One class of planar rational involutions ⋮ On fractional iterates of a Brouwer homeomorphism embeddable in a flow ⋮ Non-monotonic solutions and continuously differentiable solutions of conjugacy equations

Cites Work

• The iteration of entire transcendental functions and the solution of the functional equation \(f\{f(z)\}=F(z)\)
• On the functional equation $φ^n(x)=g(x)$
• When is f(f(z)) = az 2 + bz + c?
• When Does f -1 = 1/f?
• Recent results on functional equations in a single variable, perspectives and open problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Meromorphic iterative roots of linear fractional functions