Asymptotic solutions of the discrete Painlevé equation of second type

DOI10.1134/S0001434622090280zbMath1503.39012MaRDI QIDQ2090562

Victor Yu. Novokshenov

Publication date: 25 October 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

asymptotic solutionsPainlevé transcendentselliptic functionssymmetric group representationsdiscrete Painlevé equation of second type

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Cites Work

• Unnamed Item
• Unnamed Item
• Continuous limit of the difference second Painlevé equation and its asymptotic solutions
• Symmetric functions and P-recursiveness
• Regular and chaotic dynamics.
• From continuous to discrete Painlevé equations
• Discrete gap probabilities and discrete Painlevé equations.
• Random unitary matrices, permutations and Painlevé
• Isomonodromy transformations of linear systems of difference equations
• On the distribution of the length of the longest increasing subsequence of random permutations
• Discrete Painlev 'e Equations
• The Strong Szego Limit Theorem for Toeplitz Determinants

This page was built for publication: Asymptotic solutions of the discrete Painlevé equation of second type