On symmetric powers of differential operators

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On symmetric powers of differential operators

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents

Kihei, Maui, Hawaii, United States

Pages: 156 - 163

Year of Publication: 1997

ISBN:0-89791-875-4

Authors

Manuel Bronstein	Institute for Scientific Computation, ETH Zentrum IFW, CH-8092 Zürich
Thom Mulders	Institute for Scientific Computation, ETH Zentrum IFW, CH-8092 Zürich
Jacques-Arthur Weil	Département de Mathématiques, Faculté des Sciences, 123 Av. Albert Thomas, F-87060 Limoges

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 7, Downloads (12 Months): 19, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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	12	SINGER, M. Testing reducibility of linear differential operators: a group theoretic perspective. Applicable Algebra in Engineering, Communication and Computing 7 (1996), 77-104.
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	14	Michael F. Singer , Felix Ulmer, Liouvillian and algebraic solutions of second and third order linear differential equations, Journal of Symbolic Computation, v.16 n.1, p.37-73, July 1993 [doi>10.1006/jsco.1993.1033]
	15	SINGER, M., AND ULMER, F. Linear differential equations and products of linear forms. In Proceedings of MEGA 'g6 (to appear).
	16	Felix Ulmer , Jacques-Arthur Weil, Note on Kovacic's algorithm, Journal of Symbolic Computation, v.22 n.2, p.179-200, August 1996 [doi>10.1006/jsco.1996.0047]
	17	VAN HOEIJ, M. Factorization of Linear Differential Operators. Computer science dissertation, Nijmegen, 1996. The package diff vp is available from http: //www-math. sci. kun.nl/math/compalg/diffop/.
	18	VAN HOEIJ, M., AND WEIL, J.-A. An algorithm for computing invariants of differential galois groups. In Proceedings of MEGA '96 (to appear).

CITED BY 4

	Manuel Bronstein , Anne Fredet, Solving linear ordinary differential equations over C (x, e^{∫ f(x)dx}), Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.173-179, July 28-31, 1999, Vancouver, British Columbia, Canada
	M. van Hoeij , J.-A. Weil, Solving second order linear differential equations with Klein's theorem, Proceedings of the 2005 international symposium on Symbolic and algebraic computation, p.340-347, July 24-27, 2005, Beijing, China
	Felix Ulmer, Liouvillian solutions of third order differential equations, Journal of Symbolic Computation, v.36 n.6, p.855-889, December 2003
	Mark van Hoeij, Solving third order linear differential equations in terms of second order equations, Proceedings of the 2007 international symposium on Symbolic and algebraic computation, July 29-August 01, 2007, Waterloo, Ontario, Canada