Algebraic Relations Among Solutions of Linear Differential Equations: Fano's Theorem

DOI10.2307/2374541zbMath0651.12016OpenAlexW2321545942MaRDI QIDQ3795758

Michael F. Singer

Publication date: 1988

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374541

zbMATH Keywords

Picard-Vessiot extensiondifferential fieldGalois theory of linear differential equations

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Abstract differential equations (12H20)

Related Items (7)

Darboux transformations for orthogonal differential systems and differential Galois theory ⋮ Reversible linear differential equations ⋮ On Generic differential $\operatorname{SO}_n$-extensions ⋮ On \(d\)-solvability for linear differential equations ⋮ When any three solutions are independent ⋮ Some remarks concerning them-reduction of differential equations ⋮ Formal solutions of differential equations

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