Differential Galois Theory and Integration
Differential Galois Theory and Integration
In this paper, we present methods to simplify reducible linear differential systems before solving. Classical integrals appear naturally as solutions of such systems. We will illustrate the methods developed in a previous paper on several examples to reduce the differential system. This will give information on potential algebraic relations between integrals.
- UNIVERSITE DE LIMOGES France
- University of Limoges France
Computer Algebra, [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC], Differential Galois Theory, Ordinary Differential Equations, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, D-finite functions, Integrals, Lie Algebras, 34A05, 68W30, 14Q20, 34M03, 34M15, 34M25, 17B45
Computer Algebra, [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC], Differential Galois Theory, Ordinary Differential Equations, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, D-finite functions, Integrals, Lie Algebras, 34A05, 68W30, 14Q20, 34M03, 34M15, 34M25, 17B45
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