Transcendence of solutions of \(q\)-Painlevé equation of type \({A^{(1)}_{6}}\)

DOI10.1007/s00010-010-0054-xzbMath1215.12011OpenAlexW4246455367MaRDI QIDQ633250

Seiji Nishioka

Publication date: 31 March 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0054-x

zbMATH Keywords

\(q\)-difference equation\(q\)-Painlevé equationtranscendence of solutions

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Painlevé-type functions (33E17) Difference algebra (12H10)

Related Items (1)

Geometric aspects of Painlevé equations

Cites Work

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• Transcendence of solutions of \(q\)-Painlevé equation of type \({A_7^{(1)}}\)
• Algebraic function fields and codes
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Special function solutions of the discrete Painlevé equations
• Discrete Painlevé equations: coalescences, limits and degeneracies
• Difference algebra
• Irreducibility ofq-Painlevé equation of typeA₆⁽¹⁾in the sense of order

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