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Differential Algebra
12Hxx
| [1] |
Alin Bostan, Frederic Chyzak, Grégoire Lecerf, Bruno Salvy, and Éric
Schost.
Differential equations for algebraic functions.
arXiv:cs/0703121, 16 pages, 2007. |
| [2] |
Olivier Cormier.
On Liouvillian solutions of linear differential equations of order
4 and 5.
In ISSAC '01: Proceedings of the 2001 International Symposium on
Symbolic and Algebraic Computation, pages 93–100 (electronic), New York,
2001. ACM. |
| [3] |
Olivier Cormier, Michael F. Singer, and Felix Ulmer.
Computing the Galois group of a polynomial using linear
differential equations.
In Proceedings of the 2000 International Symposium on Symbolic
and Algebraic Computation (St. Andrews), pages 78–85 (electronic), New
York, 2000. ACM. |
| [4] |
Julia Hartmann.
Invariants and differential Galois groups in degree four.
In Differential Galois Theory, volume 58 of Banach
Center Publ., pages 79–87. Polish Acad. Sci., Warsaw, 2002. |
| [5] |
Sabrina A. Hessinger.
Computing the Galois group of a linear differential equation of
order four.
Appl. Algebra Engrg. Comm. Comput., 11(6):489–536, 2001. |
| [6] |
Ariane Péladan-Germa.
Testing equality in differential ring extensions defined by PDE's
and limit conditions.
Appl. Algebra Engrg. Comm. Comput., 13(4):257–288, 2002. |
| [7] |
Michael F. Singer.
Testing reducibility of linear differential operators: A
group-theoretic perspective.
Appl. Algebra Engrg. Comm. Comput., 7(2):77–104, 1996. |
| [8] |
Michael F. Singer and Felix Ulmer.
Necessary conditions for Liouvillian solutions of (third order)
linear differential equations.
Appl. Algebra Engrg. Comm. Comput., 6(1):1–22, 1995. |
| [9] |
Felix Ulmer.
Liouvillian solutions of third order differential equations.
J. Symbolic Comput., 36(6):855–889, 2003. |
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