q-Borel-Laplace summation for q–difference equations with two slopes
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Publication:2964227
DOI10.1080/10236198.2016.1209192zbMath1364.39008arXiv1501.02994OpenAlexW2294706257MaRDI QIDQ2964227
Publication date: 23 February 2017
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.02994
\(q\)-difference equationscomplex analysisdifference Galois theoryBorel-Laplace summationmeromorphic gauge transformations
Difference equations, scaling ((q)-differences) (39A13) Difference equations in the complex domain (39A45)
Related Items (4)
The \(q\)-Borel sum of divergent basic hypergeometric series \(_r\phi_s(a;b;q,x)\) ⋮ Isomonodromic deformation of 𝑞-difference equations and confluence ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ Exact WKB analysis of \(\mathbb{C} \mathbb{P}^1\) holomorphic blocks
Cites Work
- Galois theory of \(q\)-difference equations
- Confluence of meromorphic solutions of \(q\)-difference equations
- On \(q\)-summation and confluence
- About the growth of entire functions solutions of linear algebraic \(q\)- difference equations
- Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.)
- About Jackson \(q\)-Bessel functions
- \(q\)-Gevrey asymptotic expansion and Jacobi theta function.
- Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy)
- Multisummability of formal power series solutions of linear analytic \(q\)-difference equations.
- Summability of divergent series
- Certain inversion and representation formulae for q-Laplace transforms
- Building Meromorphic Solutions ofq-Difference Equations Using a Borel–Laplace Summation
- Transformations de q-Borel–Laplace au moyen de la fonction thêta de Jacobi
- Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
- On Jackson's \(q\)-gamma function
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