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Journal of Difference Equations and Applications Volume 13, 2007 - Issue 11
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Original Articles

An asymptotic formula for solutions of linear second-order difference equations with regularly behaving coefficients

Robert-Jan Kooman Mathematical Institute, University of Leiden, P. O. Box 9512, 2300 RA, Leiden, The NetherlandsCorrespondence[email protected]
Pages 1037-1049 | Received 16 Sep 2005, Accepted 14 May 2007, Published online: 19 Oct 2007

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Pavel Rehák. (2016) Asymptotic formulae for solutions of linear second-order difference equations. Journal of Difference Equations and Applications 22:1, pages 107-139.
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Wojciech Motyka. (2014) Self-adjoint second-order difference equations with unbounded coefficients in the double root case. Journal of Difference Equations and Applications 20:3, pages 438-472.
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Articles from other publishers (10)

Grzegorz Świderski & Bartosz Trojan. (2023) Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II. Constructive Approximation 58:3, pages 615-686.
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S. N. Naboko & S. A. Simonov. (2021) Titchmarsh–Weyl Formula for the Spectral Density of a Class of Jacobi Matrices in the Critical Case. Functional Analysis and Its Applications 55:2, pages 94-112.
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Pavel Řehák. (2021) Asymptotics of perturbed discrete Euler equations in the critical case. Journal of Mathematical Analysis and Applications 496:2, pages 124825.
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Сергей Николаевич Набоко, Sergei Nikolaevich Naboko, Сергей Александрович Симонов & Sergey Aleksandrovich Simonov. (2021) Формула Вейля-Титчмарша для спектральной плотности класса матриц Якоби в критическом случаеTitchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego Prilozheniya 55:2, pages 21-43.
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Raphael Pruckner. (2020) Density of the spectrum of Jacobi matrices with power asymptotics. Asymptotic Analysis 117:3-4, pages 199-213.
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Yu-Tian Li, Xiang-Sheng Wang & Roderick Wong. (2019) Asymptotics of the Wilson polynomials. Analysis and Applications 18:02, pages 237-270.
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Pavel Řehák. (2017) An asymptotic analysis of nonoscillatory solutions of q-difference equations via q-regular variation. Journal of Mathematical Analysis and Applications 454:2, pages 829-882.
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Sigrun Bodine & Donald A. LutzSigrun Bodine & Donald A. Lutz. 2015. Asymptotic Integration of Differential and Difference Equations. Asymptotic Integration of Differential and Difference Equations 295 368 .
R.J. Kooman. (2013) Asymptotic diagonalization of matrix systems. Journal of Approximation Theory 171, pages 33-64.
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Julius Borcea, Shmuel Friedland & Boris Shapiro. (2011) Parametric Poincaré-Perron theorem with applications. Journal d'Analyse Mathématique 113:1, pages 197-225.
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