Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.)

DOI10.5802/aif.1672zbMath0974.39009OpenAlexW2320521168MaRDI QIDQ1288634

Changgui Zhang

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_1_227_0

zbMATH Keywords

asymptotic expansionsummability\(q\)-difference equationGevrey estimatesStokes phenomenon\(q\)-Borel transformation\(q\)-Laplace transformation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) Special methods of summability (40G99)

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