Iteration of Möbius transforms and continued fractions

DOI10.1216/RMJM/1181073017zbMath0734.30006OpenAlexW2051944191MaRDI QIDQ810662

Jan Gelfgren, Hans Wallin, Johan Karlsson

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073017

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Continued fractions; complex-analytic aspects (30B70)

Related Items (1)

Iteration of Möbius transformations and attractors on the real line

Cites Work

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• Convergence properties of sequences ol linear fractional transformations
• An asymptotic property for tails of limit periodic continued fractions
• Limit periodic iteration
• Truncation error bounds for modified continued fractions with applications to special functions
• On sequences of Moebius transformations
• Complex analytic dynamics on the Riemann sphere
• Convergence of Limit k -Periodic Continued Fractions K (a_n /b_n ), and of Subsequences of Their Tails
• General Convergence of Continued Fractions
• Composition of Linear Fractional Transformations in Terms of Tail Sequences
• Limiting Structures for Sequences of Linear Fractional Transformations
• Infinite Compositions of Mobius Transformations
• On convergence of sequences of linear fractional transformations

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