A method for the integration of solutions of Ore equations

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A method for the integration of solutions of Ore equations

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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: 172 - 175

Year of Publication: 1997

ISBN:0-89791-875-4

Authors

Sergei A. Abramov	Computer Center of the Russian Academy of Science, Vavilova 40, Moscow 117967, Russia
Mark van Hoeij	Department of mathematics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands

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

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Downloads (6 Weeks): 3, Downloads (12 Months): 12, Citation Count: 2

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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	S. A. Abramov (1995): Rational solutions of linear difference and q-difference equations with polynomial coefficients, Programmin9 and Comput. Software 21, No 6, 273 -- 278. Transl. from Programmirovanie, No 6, 3 -ll.
	4	Manuel Bronstein , Marko Petkovšek, An introduction to pseudo-linear algebra, Theoretical Computer Science, v.157 n.1, p.3-33, April 9, 1996
	5	F. Chyzak (1996): 0-finite functions, INRIA. Algorithm seminar 1995~1996 , 43-46.
	6	F. Chyzak, B. Salvy (1996): Non-commutative elimination in Ore algebra proves multivariate holonomic identities, INRIA Research Report, No 2799.
	7	P. M. Cohn, Skew Fields (1995): Theory of General Division Rings, Encyclopedia of Mathematics and its Applications, Cambridge University Press, 57.
	8	R. W. Gosper, Jr. (1978): Decision procedure for indefinite hypergeometric summation, Proc. Natl. Acad. Sc~. USA 75, 40- 42.
	9	Mark van Hoeij, Rational solutions of the mixed differential equation and its application to factorization of differential operators, Proceedings of the 1996 international symposium on Symbolic and algebraic computation, p.219-225, July 24-26, 1996, Zurich, Switzerland [doi>10.1145/236869.237078]
	10	O. Ore (1933): The theory of non-commutative polynomials, Ann. Maths. 34, 480- 508.

CITED BY 2

	Mark van Hoeij, Rational solutions of linear difference equations, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.120-123, August 13-15, 1998, Rostock, Germany
	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