Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy)
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Publication:1572642
DOI10.5802/aif.1784zbMath0957.05012arXivmath/0211007OpenAlexW2332717233MaRDI QIDQ1572642
Publication date: 19 July 2000
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211007
(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)
Related Items (31)
\(q\)-factorial series, \(q\)-difference operators and confluence ⋮ On classical irregular q-difference equations ⋮ The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module. ⋮ The \(q\)-Borel sum of divergent basic hypergeometric series \(_r\phi_s(a;b;q,x)\) ⋮ Isomonodromic deformation of 𝑞-difference equations and confluence ⋮ Difference equation for quintic 3-fold ⋮ Local Galois group of irregular q-difference equations ⋮ Meromorphic tensor equivalence for Yangians and quantum loop algebras ⋮ Rational classification and confluence of regular singular difference systems ⋮ Hiroshi Umemura and French mathematics ⋮ The space of monodromy data for the Jimbo-Sakai family of \(q\)-difference equations ⋮ Small divisor problem in dynamical systems and analytic solutions of a \(q\)-difference equation with a singularity at the origin ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Formal confluence of quantum differential operators ⋮ An algorithm to recognize regular singular Mahler systems ⋮ Analytical study of the pantograph equation using Jacobi theta functions ⋮ Meromorphic solutions of linear \(q\)-difference equations ⋮ q-Borel-Laplace summation for q–difference equations with two slopes ⋮ Generalized basic hypergeometric equations ⋮ Approximants de Padé des q-Polylogarithmes ⋮ Familles fuchsiennes d’équations aux ($q$-)différences et confluence ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ Galois theories of \(q\)-difference equations: comparison theorems ⋮ Leonhard Euler and a 𝑞-analogue of the logarithm ⋮ On \(q\)-summation and confluence ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ Galois theory of fuchsian q-difference equations ⋮ Asymptotics and confluence for some linear \(q\)-difference-differential Cauchy problem ⋮ $q$-Conjugacy classes in loop groups ⋮ Quantum \(K\)-theory and \(q\)-difference equations ⋮ The canonical slope filtration of a \(q\)-difference module
Cites Work
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- Equations différentielles à points singuliers réguliers
- Matrice de connexion d'un système aux q-différences confluant vers un système différentiel et matrices de monodromie
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