Rational solutions of linear difference and q-difference equations with polynomial coefficients

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Rational solutions of linear difference and q-difference equations with polynomial coefficients

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1995 international symposium on Symbolic and algebraic computation table of contents

Montreal, Quebec, Canada

Pages: 285 - 289

Year of Publication: 1995

ISBN:0-89791-699-9

Author

S. A. Abramov

Computer Center of the Russian Academy of Science, Vavilova 40, Moscow 117967, 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): 6, Downloads (12 Months): 27, Citation Count: 11

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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.

	ABP95	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]
	Abr87	Abramov, S.A. Complexity of the solution of exponential equation and the orbit problem for second-order matrices. Moscow Univ. Comput. Math. Cybernet., no 4, 55 - 63.
	Abr89a	Abramov, S.A. Problems in computer algebra that are connected with a search for polynomial solutions of linear differential and difference equations. Moscow Univ. Comput. Math. Cybernet., no 3, 63-68.
	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]
	Abr94	Abramov, S.A. Denominators of rational solutions of linear difference equations. Programmirovanie, no.l, 49-52. Errata. Programmirovanie, no.4, p.96.
	AbrKva91	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]
	AbrPet95	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
	BroPet94	Bronstein, M., Petkov~ek, M. On Ore rings, linear operators and factorization. Programmirovanie, no.l, 27-45.
	Gos78	Gosper, R.W. Decision procedures for indefinite hypergeometric summation. Proc. Natl. Acad. Sci. U.S.A. 75, 40-42.

CITED BY 11

	S. P. Tsarev, An algorithm for complete enumeration of all factorizations of a linear ordinary differential operator, Proceedings of the 1996 international symposium on Symbolic and algebraic computation, p.226-231, July 24-26, 1996, Zurich, Switzerland
	Jürgen Gerhard, High degree solutions of low degree equations (extended abstract), Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.284-289, August 13-15, 1998, Rostock, Germany
	Sergei A. Abramov , Eugene V. Zima, D'Alembertian solutions of inhomogeneous linear equations (differential, difference, and some other), Proceedings of the 1996 international symposium on Symbolic and algebraic computation, p.232-240, July 24-26, 1996, Zurich, Switzerland
	S. A. Abramov, Indefinite sums of rational functions, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.303-308, July 10-12, 1995, Montreal, Quebec, Canada
	M. A. Barkatou, Rational solutions of matrix difference equations: the problem of equivalence and factorization, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.277-282, July 28-31, 1999, Vancouver, British Columbia, Canada
	S. A. Abramov , M. A. Barkatou, Rational solutions of first order linear difference systems, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.124-131, August 13-15, 1998, Rostock, Germany
	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
	George Labahn , Ziming Li, Hyperexponential solutions of finite-rank ideals in orthogonal ore rings, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.213-220, July 04-07, 2004, Santander, Spain
	Ruyong Feng , Xiao-Shan Gao , Zhenyu Huang, Rational solutions of ordinary difference equations, Journal of Symbolic Computation, v.43 n.10, p.746-763, October, 2008
	Moulay A. Barkatou , Gary Broughton , Eckhard Pflügel, Regular systems of linear functional equations and applications, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, July 20-23, 2008, Linz/Hagenberg, Austria
	Manuel Kauers, Solving difference equations whose coefficients are not transcendental, Theoretical Computer Science, v.401 n.1-3, p.217-227, July, 2008