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Differential Algebra
12H05, 13Nxx
| [1] |
Alin Bostan, Frédéric Chyzak, and Nicolas Le Roux.
Products of ordinary differential operators by evaluation and
interpolation.
In ISSAC '08: International Symposium on Symbolic and Algebraic
Computation, pages 23–30, New York, NY, USA, 2008. ACM. |
| [2] |
Alin Bostan, Frédéric Chyzak, Bruno Salvy, Grégoire Lecerf, and
Éric Schost.
Differential equations for algebraic functions.
In ISSAC 2007, pages 25–32. ACM, New York, 2007. |
| [3] |
Alin Bostan, Thomas Cluzeau, and Bruno Salvy.
Fast algorithms for polynomial solutions of linear differential
equations.
In ISSAC'05: Proceedings of the 2005 International Symposium on
Symbolic and Algebraic Computation, pages 45–52 (electronic). ACM, New
York, 2005. |
| [4] |
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. |
| [5] |
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. |
| [6] |
Boris Feigin and Boris Shoikhet.
On [A, A]/[A, [A, A]] and on a Wn-action on the consecutive
commutators of free associative algebra.
Math. Res. Lett., 14(5):781–795, 2007. |
| [7] |
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. |
| [8] |
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. |
| [9] |
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. |
| [10] |
Kira Samol and Duco van Straten.
Frobenius polynomials for Calabi-Yau equations.
Commun. Number Theory Phys., 2(3):537–561, 2008. |
| [11] |
Michael F. Singer.
Testing reducibility of linear differential operators: A
group-theoretic perspective.
Appl. Algebra Engrg. Comm. Comput., 7(2):77–104, 1996. |
| [12] |
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. |
| [13] |
Felix Ulmer.
Liouvillian solutions of third order differential equations.
J. Symbolic Comput., 36(6):855–889, 2003. |
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