Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon

DOI10.1007/s12346-022-00656-0zbMath1503.39002arXiv1209.0295OpenAlexW4296764578WikidataQ114220801 ScholiaQ114220801MaRDI QIDQ2675101

José Maria Cano, Pedro Fortuny Ayuso

Publication date: 20 September 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0295

zbMATH Keywords

Gevrey orderNewton-Puiseux polygon process

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Difference algebra (12H10)

Related Items (1)

Meromorphic solutions of linear \(q\)-difference equations

Cites Work

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• ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS
• Linear 𝑞-difference equations
• Reduction of Singularities of the Differential Equation Ady = Bdx

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