The Stokes phenomenon for the $q$-difference equation satisfied by the basic hypergeometric series ${}_3\varphi_1(a_1,a_2,a_3;b_1;q,x)$

zbMath1318.39010arXiv1402.3903MaRDI QIDQ5178639

Takeshi Morita

Publication date: 16 March 2015

Full work available at URL: https://arxiv.org/abs/1402.3903

zbMATH Keywords

hypergeometric seriesdivergent seriesStokes phenomenonconnection problems\(q\)-Borel-Laplace transformations\(q\)-elliptic functionsthird-order linear \(q\)-difference equation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Discrete version of topics in analysis (39A12) 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 (2)

The \(q\)-Borel sum of divergent basic hypergeometric series \(_r\phi_s(a;b;q,x)\) ⋮ Transformations of basic hypergeometric series from the viewpoint of substitution of parameter operators

This page was built for publication: The Stokes phenomenon for the $q$-difference equation satisfied by the basic hypergeometric series ${}_3\varphi_1(a_1,a_2,a_3;b_1;q,x)$