Special solutions of discrete Painlevé equations through direct linearisation

DOI10.1016/S0378-4371(02)01014-2zbMath1001.34081OpenAlexW2053092954MaRDI QIDQ1848186

T. Tamizhmani, K. M. Tamizhmani, Alfred Ramani, Basile Grammaticos

Publication date: 19 November 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(02)01014-2

zbMATH Keywords

affine Weyl groupsdiscrete quadrature equivalentfirst-order mappings

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Cites Work

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• On a transcendental equation related to Painlevé III, and its discrete forms
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• Special function solutions for asymmetric discrete Painlevé equations
• Linearization and solutions of the discrete Painlevé III equation
• On a class of special solutions of the Painlevé equations
• Asymmetric discrete Painlevé equations

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