Linear difference operators with coefficients in the form of infinite sequences

DOI10.1134/S0965542521100018OpenAlexW3214083796MaRDI QIDQ2245889

Moulay A. Barkatou, Sergey A. Abramov, Marko Petkovsek

Publication date: 15 November 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521100018

zbMATH Keywords

divisibilitylinear difference equationssolution spacesundecidable problemsannihilating operatorscommon multiples of operatorsinfinite sequences in role of coefficients

Mathematics Subject Classification ID

Operator theory (47-XX) Number theory (11-XX)

Cites Work

• Unnamed Item
• Solving difference equations in finite terms
• Finite singularities and hypergeometric solutions of linear recurrence equations
• An introduction to pseudo-linear algebra
• Galois theory of difference equations
• Theory of non-commutative polynomials
• Matrices of scalar differential operators: divisibility and spaces of solutions
• Picard-Vessiot Theory of Linear Homogeneous Difference Equations
• On Computable Numbers, with an Application to the Entscheidungsproblem

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