Galois groups of linear difference-differential equations
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Publication:2693367
DOI10.1016/j.jalgebra.2023.02.017OpenAlexW4321793688MaRDI QIDQ2693367
Publication date: 20 March 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.01977
Galois groupsspecializationslinear difference-differential equationssimple difference-differential rings
Linear ordinary differential equations and systems (34A30) Differential algebra (12H05) Difference algebra (12H10) Linear difference equations (39A06)
Cites Work
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- Liouvillian solutions of linear difference-differential equations
- Differential Galois theory of linear difference equations
- A Hopf algebraic approach to the Picard-Vessiot theory
- An algorithm determining the difference Galois group of second order linear difference equations
- Galois theory of difference equations
- On the nature of the generating series of walks in the quarter plane
- Computing Galois groups of completely reducible differential equations
- Skolem-Mahler-Lech type theorems and Picard-Vessiot theory
- Computing the Lie algebra of the differential Galois group: the reducible case
- Walks in the quarter plane: genus zero case
- Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups
- Consistent systems of linear differential and difference equations
- Hrushovski's algorithm for computing the Galois group of a linear differential equation
- Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
- Difference Galois theory of linear differential equations
- On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters
- Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System
- Picard-Vessiot Extensions of Real Differential Fields
- On the Definitions of Difference Galois Groups
- Computing the Galois group of a linear differential equation
- On the computation of the Galois group of linear difference equations
- Hypertranscendence and linear difference equations
- Difference Galois groups under specialization
- Testing linear dependence of hyperexponential elements
- Computing the Galois group of some parameterized linear differential equation of order two
- -Galois Theory of Linear Difference Equations
- Galois theory of parameterized differential equations and linear differential algebraic groups
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