Geodesic
Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type
Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 613-624.

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Several classes of asymptotic solutions of the discrete Painlevé equation of second type (dPII) for large values of the independent variable are found. The cases of complex and real solutions are considered. as well as special solutions related to symmetric group representations.
Keywords: discrete Painlevé equation of second type, Painlevé transcendents, asymptotic solutions, elliptic functions, symmetric group representations. 
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V. Yu. Novokshenov. Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type. Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 613-624. http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a9/

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