Multisummability of formal power series solutions of linear analytic \(q\)-difference equations.
From MaRDI portal
Publication:1589910
DOI10.5802/aif.1809zbMath1063.39001OpenAlexW2314137015MaRDI QIDQ1589910
Changgui Zhang, Fabienne Marotte
Publication date: 14 December 2000
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_6_1859_0
acceleration\(q\)-difference equation\(q\)-convolution productmultisummability\(q\)-Borel transformationasymptotic development\(q\)-Laplace transformationGevrey estimations
Related Items (19)
On the positive powers of 𝑞-analogs of Euler series ⋮ The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module. ⋮ Isomonodromic deformation of 𝑞-difference equations and confluence ⋮ q-Analogues of Laplace and Borel transforms by means of q-exponentials ⋮ Analytic general solutions of nonlinear second-order \(q\)-difference equations with a double characteristic value ⋮ Meromorphic solutions of linear \(q\)-difference equations ⋮ q-Borel-Laplace summation for q–difference equations with two slopes ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ An example of local analytic \(q\)-difference equation: analytic classification ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations ⋮ Irregular part of solutions for a linear \(q\)-difference equation ⋮ Asymptotic expansion and summability of solutions of linear \(q\)-difference equations. ⋮ On \(q\)-summation and confluence ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy) ⋮ Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.) ⋮ The canonical slope filtration of a \(q\)-difference module ⋮ An example of nonlinear \(q\)-difference equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multisummable functions
- 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.)
- Sur la sommabilité des séries entières solutions formelles d'une équation aux q-différences, II
- Ample line bundles on smooth surfaces.
This page was built for publication: Multisummability of formal power series solutions of linear analytic \(q\)-difference equations.