Asymptotic behaviour to solutions to linear recurrences and sequences of Möbius-transformations

DOI10.1006/jath.1998.3171zbMath0933.39015OpenAlexW2019211861MaRDI QIDQ1266110

R. J. Kooman

Publication date: 4 April 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3171

zbMATH Keywords

fixed pointsasymptotic behaviororbitsrecurrencesconvergent solutionsMöbius-transformationsRiemann-sphere

Mathematics Subject Classification ID

Related Items (10)

The asymptotic analysis of generalized eigenvectors of some Jacobi operators. Jordan box case∗ ⋮ THE ASYMPTOTIC ANALYSIS OF A CLASS OF SELF-ADJOINT SECOND-ORDER DIFFERENCE EQUATIONS: JORDAN BOX CASE ⋮ Asymptotic behaviours and general recurrence relations ⋮ Asymptotic diagonalization of matrix systems ⋮ Asymptotics for generating functions of the Fuss-Catalan numbers ⋮ Parametric Poincaré-Perron theorem with applications ⋮ An asymptotic formula for solutions of linear second-order difference equations with regularly behaving coefficients ⋮ Asymptotics of orthogonal polynomials and point perturbation on the unit circle ⋮ Monotone Jacobi parameters and non-Szegő weights ⋮ Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs

Cites Work

• A generalization of Poincaré's theorem for recurrence equations
• Asymptotics for orthogonal polynomials defined by a recurrence relation
• Asymptotics for orthogonal polynomials on and off the essential spectrum
• Decomposition of matrix sequences
• Convergence of solutions of \(\text{PSL}(2,\mathbb{R})\)-recurrences with parabolic limit
• Infinite Compositions of Mobius Transformations
• Asymptotic Behavior of Solutions of Ordinary Difference Equations
• On convergence of sequences of linear fractional transformations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic behaviour to solutions to linear recurrences and sequences of Möbius-transformations