Confluence of meromorphic solutions of \(q\)-difference equations

DOI10.5802/aif.2937zbMath1331.39006arXiv1307.7085OpenAlexW3121792715MaRDI QIDQ748386

Thomas Dreyfus

Publication date: 20 October 2015

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

Full work available at URL: https://arxiv.org/abs/1307.7085

zbMATH Keywords

\(q\)-difference equationsconfluencelinear differential equationbasic hypergeometric seriesmeromorphic solutionBorel-Laplace transformationconfluent hypergeometric seriesStokes phenomenonmonodromy matricesBorel-Laplace summationdivergent power series solution

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (4)

The \(q\)-Borel sum of divergent basic hypergeometric series \(_r\phi_s(a;b;q,x)\) ⋮ q-Borel-Laplace summation for q–difference equations with two slopes ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ Asymptotics and confluence for some linear \(q\)-difference-differential Cauchy problem

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