Asymptotic classification of solutions to the first discrete Painlevé equation

DOI10.1007/BF02110719zbMath0873.35091MaRDI QIDQ1357989

V. L. Vereshchagin

Publication date: 27 October 1997

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

zbMATH Keywords

first Painlevé equationdiscrete string equationsfirst discrete Painlevé equationmatrix models of two-dimensional gravity

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (3)

Properties of generalized Freud polynomials ⋮ Stokes phenomena in discrete Painlevé II ⋮ Nonlinear q-Stokes phenomena for q-Painlevé I

Cites Work

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• Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory
• Asymptotic for solutions of systems of smooth recurrence equations
• Quantum field theory techniques in graphical enumeration
• ON A PAINLEVÉ-TYPE BOUNDARY-VALUE PROBLEM
• Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• The isomonodromy approach in the theory of two-dimensional quantum gravitation

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