Computing the Galois group of some parameterized linear differential equation of order two

DOI10.1090/S0002-9939-2014-11826-0zbMath1414.12011arXiv1110.1053WikidataQ115289247 ScholiaQ115289247MaRDI QIDQ5401360

Thomas Dreyfus

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1053

Mathematics Subject Classification ID

Differential algebra (12H05) Abstract differential equations (12H20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (9)

On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters ⋮ Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ Calculating Galois groups of third-order linear differential equations with parameters ⋮ Computing differential Galois groups of second-order linear \(q\)-difference equations ⋮ Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation ⋮ Galois groups of linear difference-differential equations ⋮ Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Almost-simple affine difference algebraic groups

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