Solving second order linear differential equations with Klein's theorem

DOI10.1145/1073884.1073931zbMath1360.34178OpenAlexW1997435956MaRDI QIDQ5262783

Mark van Hoeij, Jacques-Arthur Weil

Publication date: 16 July 2015

Published in: Proceedings of the 2005 international symposium on Symbolic and algebraic computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1073884.1073931

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (10)

Solutions of algebraic linear ordinary differential equations ⋮ On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters ⋮ Computing pullback function of second order differential operators by using their semi-invariants ⋮ Galoisian approach to integrability of Schrödinger equation ⋮ Belyi functions for hyperbolic hypergeometric-to-Heun transformations ⋮ Computing the Galois group of some parameterized linear differential equation of order two ⋮ Alternative solution of the inhomogeneous linear differential equation of order two ⋮ Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields ⋮ Differential Galois Theory and Integration ⋮ Computing the Lie algebra of the differential Galois group: the reducible case

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