Consistent systems of linear differential and difference equations

DOI10.4171/JEMS/891zbMath1425.39003arXiv1605.02616WikidataQ127892147 ScholiaQ127892147MaRDI QIDQ2327702

Reinhard Schäfke, Michael F. Singer

Publication date: 15 October 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02616

zbMATH Keywords

linear differential equationsshift operatorlinear difference equations\(q\)-difference equationconsistent systemsMahler operator

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Difference equations, scaling ((q)-differences) (39A13) General theory of difference equations (39A05) Difference algebra (12H10) Linear ordinary differential equations and systems in the complex domain (34M03) Linear difference equations (39A06) Difference equations in the complex domain (39A45)

Related Items (11)

Computing differential Galois groups of second-order linear \(q\)-difference equations ⋮ On the structure of certain \(\Gamma\)-difference modules ⋮ Quantitative estimates for the size of an intersection of sparse automatic sets ⋮ Frobenius method for Mahler equations ⋮ Galois groups of linear difference-differential equations ⋮ On the \(q\)-analogue of Pólya's theorem ⋮ Criteria for periodicity and an application to elliptic functions ⋮ Mahler's method ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Elliptic \((p,q)\)-difference modules ⋮ Hypertranscendence and linear difference equations

Uses Software

• DLMF

Cites Work

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