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Asymptotic solutions of the discrete Painlev? equation of the second type

V. Yu. Novokshenov



Abstract: Classes of asymptotic solutions of the discrete Painlev? equation of the second type (dPII) are found for large values of the independent variable. The cases of complex and purely real solutions are considered, as well as special solutions related to representations of the symmetric group.


© Steklov Math. Inst. of RAS, 2026