Infinite Compositions of Mobius Transformations

DOI10.2307/1996221zbMath0267.30006OpenAlexW4248353697MaRDI QIDQ5685346

John Gill

Publication date: 1973

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1996221

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items

Even and odd parts of limit periodic continued fractions ⋮ On the dynamics of certain recurrence relations ⋮ Computation of limit periodic continued fractions. A survey ⋮ Complex dynamics of the limit periodic system \(F_ n(z)=F_{n-1}(f_ n(z))\), \(f_ n\to f\) ⋮ Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions ⋮ Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\) ⋮ Biholomorphic Cryptosystems ⋮ Convergence and divergence of the Ramanujan AGM fraction ⋮ Truncation error bounds for the composition of limit-periodic linear fractional transformations ⋮ On the convergence of continued fractions at Runckel's points ⋮ Truncation error bounds for the composition of limit-periodic linear fractional transformations ⋮ Divergence of Continued Fractions Related to Hypergeometric Series ⋮ Asymptotic behaviour to solutions to linear recurrences and sequences of Möbius-transformations ⋮ The Use of Attractive Fixed Points in Accelerating the Convergence of Limit-Periodic Continued Fractions ⋮ On convergence of generalized continued fractions and Ramanujan's conjecture ⋮ Continued fractions, discrete groups and complex dynamics ⋮ Iteration of Möbius transforms and continued fractions