Unique special solution for discrete Painlevé II

DOI10.1080/10236198.2023.2294919arXiv2308.07011OpenAlexW4390265047MaRDI QIDQ6131536

Walter Van Assche

Publication date: 5 April 2024

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.07011

zbMATH Keywords

upper boundspecial solutionorthogonal polynomials on the unit circlediscrete Painlevé II

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Difference equations, scaling ((q)-differences) (39A13) Painlevé-type functions (33E17) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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• Nonnegative solutions of a nonlinear recurrence
• Special function solutions of the discrete Painlevé equations
• A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions
• Unique positive solution for an alternative discrete Painlevé I equation
• Geometric aspects of Painlevé equations
• Orthogonal Polynomials and Painlevé Equations
• Unique positive solutions to q-discrete equations associated with orthogonal polynomials

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