D'Alembertian solutions of inhomogeneous linear equations (differential, difference, and some other)

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D'Alembertian solutions of inhomogeneous linear equations (differential, difference, and some other)

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1996 international symposium on Symbolic and algebraic computation table of contents

Zurich, Switzerland

Pages: 232 - 240

Year of Publication: 1996

ISBN:0-89791-796-0

Authors

Sergei A. Abramov	Computer Center of the Russian Academy of Science, Vavilova 40, Moscow 117967, Russia
Eugene V. Zima	Dept. of Computat. Math. & Cybernetics, Moscow State University, Moscow 119899, Russia

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): 1, Downloads (12 Months): 13, Citation Count: 3

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references cited by index terms collaborative colleagues peer to peer

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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.

	1	S. A. Abramov, Rational solutions of linear differential and difference equations with polynomial coefficients, USSR Computational Mathematics and Mathematical Physics, v.29 n.6, p.7-12, 1989 [doi>10.1016/S0041-5553(89)80002-3]
	2	S. A. Abramov , K. Yu. Kvansenko, Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients, Proceedings of the 1991 international symposium on Symbolic and algebraic computation, p.267-270, July 15-17, 1991, Bonn, West Germany [doi>10.1145/120694.120735]
	3	Sergei A. Abramov , Marko Petkovšek, D'Alembertian solutions of linear differential and difference equations, Proceedings of the international symposium on Symbolic and algebraic computation, p.169-174, July 20-22, 1994, Oxford, United Kingdom [doi>10.1145/190347.190412]
	4	S. A. Abramov, Rational solutions of linear difference and q-difference equations with polynomial coefficients, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.285-289, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220383]
	5	Sergei A. Abramov , Manuel Bronstein , Marko Petkovšek, On polynomial solutions of linear operator equations, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.290-296, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220384]
	6	Sergei A. Abramov , Peter Paule , Marko Petkovšek, q-hypergeometric solutions of q-difference equations, Proceedings of the 7th conference on Formal power series and algebraic combinatorics, p.3-22, February 1998, France
	7	ABRAMOV S.A. (1996): Symbolic algorithms to find particular d'Alembertian solutions of linear equations, Programming and Computer Software (translated from Programmirovanie, N 1, 39-50).
	8	Manuel Bronstein, On solutions of linear ordinary differential equations in their coefficient field, Journal of Symbolic Computation, v.13 n.4, p.413-439, April 1992 [doi>10.1016/S0747-7171(08)80106-X]
	9	Manuel Bronstein , Marko Petkovšek, An introduction to pseudo-linear algebra, Theoretical Computer Science, v.157 n.1, p.3-33, April 9, 1996
	10	J. H. Davenport , M. F. Singer, Elementary and Liouvillian solutions of linear differential equations, Journal of Symbolic Computation, v.2 n.3, p.237-260, Sept. 1986 [doi>10.1016/S0747-7171(86)80026-8]
	11	ORE O. (1933): Theory of non-commutative polynomials, Annals of Mathematics 34, 480-508.
	12	Marko Petkovšek, Hypergeometric solutions of linear recurrences with polynomial coefficients, Journal of Symbolic Computation, v.14 n.2-3, p.243-264, Aug./Sept. 1992 [doi>10.1016/0747-7171(92)90038-6]

CITED BY 3

	M. V. Sosnin, An Algorithm for Nonparametric Decomposition of Differential Polynomials, Programming and Computing Software, v.27 n.1, p.43-49, January-February 2001
	H. Q. Le, Computing the minimal telescoper for sums of hypergeometric terms, ACM SIGSAM Bulletin, v.35 n.3, September 2001
	Sergei A. Abramov , Eugene V. Zima, Minimal completely factorable annihilators, Proceedings of the 1997 international symposium on Symbolic and algebraic computation, p.290-297, July 21-23, 1997, Kihei, Maui, Hawaii, United States