Solutions of algebraic linear ordinary differential equations
DOI10.1016/j.jalgebra.2022.02.018OpenAlexW3159408585WikidataQ115350280 ScholiaQ115350280MaRDI QIDQ2132454
Publication date: 28 April 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.12007
hypergeometric functionscomputational methodsdifferential Galois theoryinvariant theoryPicard-Vessiot theoryrepresentation of finite groupsalgebraic linear ordinary differential equations
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Linear ordinary differential equations and systems (34A30) Generalized hypergeometric series, ({}_pF_q) (33C20) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algorithm for solving second order linear homogeneous differential equations
- Monodromy for the hypergeometric function \(_ nF_{n-1}\)
- Liouvillian and algebraic solutions of second and third order linear differential equations
- An algorithm for computing invariants of differential Galois groups
- Constructing a third-order linear differential equation
- Liouvillian solutions of linear differential equations of order three and higher
- Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz
- Linear differential equations with finite differential Galois group
- Schwarz maps of algebraic linear ordinary differential equations
- Some Basic Results on Actions of Nonaffine Algebraic Groups
- On Second Order Linear Differential Equations with Algebraic Solutions
- On Second Order Linear Differential Equations with Algebraic Solutions on Algebraic Curves
- Hypergeometric Functions, My Love
- DIFFERENTIAL EQUATIONS FOR INVARIANT CURVES UNDER KLEIN'S SIMPLE GROUP OF ORDER 168
- Solving second order linear differential equations with Klein's theorem
- MINIMAL SCHWARZ MAPS OF <sub>3</sub><i>F</i><sub>2</sub> WITH FINITE IRREDUCIBLE MONODROMY GROUPS
- The Picard-Vessiot Theory of Homogeneous Linear Ordinary Differential Equations
- Differential equations and finite groups