Generalized basic hypergeometric equations

DOI10.1007/s00222-010-0294-3zbMath1241.33017OpenAlexW2056136987MaRDI QIDQ634644

Julien Roques

Publication date: 16 August 2011

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-010-0294-3

zbMATH Keywords

\(q\)-difference Galois theorybasic hypergeometric equationsregular singular \(q\)-difference modules

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Galois theory (11R32) Difference equations, scaling ((q)-differences) (39A13) Applications of basic hypergeometric functions (33D90)

Related Items

On classical irregular q-difference equations ⋮ Isomonodromic deformation of 𝑞-difference equations and confluence ⋮ The space of monodromy data for the Jimbo-Sakai family of \(q\)-difference equations ⋮ Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ Duality relations for hypergeometric series

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