Local analytic classification of q-difference equations

zbMath1320.39008arXiv0903.0853MaRDI QIDQ5401572

Changgui Zhang, Jacques Sauloy, Jean Pierre Ramis

Publication date: 10 March 2014

Full work available at URL: https://arxiv.org/abs/0903.0853

zbMATH Keywords

monographasymptotic solutionRiemann problem\(q\)-difference equations\(q\)-Gevrey divergent seriesBirkhoff-Guenther normal formsBirkhoff-Malgrange-Sibuya theoremBirkhoff's program

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Difference equations, scaling ((q)-differences) (39A13) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Multiple sequences and series (40B99)

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