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

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

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

Full text

Pdf (876 KB)

Source

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): 3, Downloads (12 Months): 14, Citation Count: 3

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/236869.237080 What is a DOI?

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

	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
	H. Q. Le, Computing the minimal telescoper for sums of hypergeometric terms, ACM SIGSAM Bulletin, v.35 n.3, September 2001
	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