Rational classification and confluence of regular singular difference systems

DOI10.5802/aif.2224zbMath1125.39019arXivmath/0610596OpenAlexW1568856212MaRDI QIDQ877544

Julien Roques

Publication date: 24 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0610596

zbMATH Keywords

gamma functionmonodromynormal formFuchsian systemfactorial seriesconnection matrixholomorphic at infinityrational gauge transformation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (2)

Familles fuchsiennes d’équations aux ($q$-)différences et confluence ⋮ Confluence of meromorphic solutions of \(q\)-difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Convergent factorial series solutions of linear difference equations
• Galois theory of difference equations
• Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy)
• Confluence of \(q\)-difference to difference for a Fuchsian system
• \(q\)-factorial series, \(q\)-difference operators and confluence
• Summability of divergent series
• Familles fuchsiennes d’équations aux ($q$-)différences et confluence
• Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem

This page was built for publication: Rational classification and confluence of regular singular difference systems