On d'Alembert substitution

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On d'Alembert substitution

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents

Kiev, Ukraine

Pages: 20 - 26

Year of Publication: 1993

ISBN:0-89791-604-2

Author

S. A. Abramov

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 0, Downloads (12 Months): 5, Citation Count: 3

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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.

	Abr89a	Abramov, S.A. Problems of computer algebra involved in the search for polynomial solutions of linear differential and difference equations. Moscow Univ. Comput. Math. and Cybernet., no. 3, 63-68, transl, of "Vestn. Moskov. univ. Ser. XV. Vychislit. matem, i kibernet.", no. 3, 56- 60.
	Abr89b	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]
	Abr91	Abramov, S.A. A problem of computer algebra connected with solving of linear differential and difference equations. Cybernetics, no. 2, 198-207, transl, of "Kibernetika", no. 2, 30-37.
	Abr&Kva91	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]
	Bron92	Manuel Bronstein, Linear ordinary differential equations: breaking through the order 2 barrier, Papers from the international symposium on Symbolic and algebraic computation, p.42-48, July 27-29, 1992, Berkeley, California, United States [doi>10.1145/143242.143264]
	Pet90	Marko Petkovsek, Finding closed-form solutions of difference equations by symbolic methods, Carnegie Mellon University, Pittsburgh, PA, 1991
	Pet92a	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]
	Pet92b	Petkov~ek, M. Private communication.
	Schl	Schlesinger, L. Handbuch der Theorie der linearen Differentialgleichungen. {- III. Teubner, Leipzig, 1895-1898.
	Sch89	F. Schwarz, A factorization algorithm for linear ordinary differential equations, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, p.17-25, July 17-19, 1989, Portland, Oregon, United States [doi>10.1145/74540.74544]

CITED BY 3

	S. P. Tsarev, Symbolic manipulation of integrodifferential expressions and factorization of linear ordinary differential operators over transcendental extensions of a differential field, Proceedings of the 1997 international symposium on Symbolic and algebraic computation, p.310-315, July 21-23, 1997, Kihei, Maui, Hawaii, United States
	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
	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