Indefinite sums of rational functions

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Indefinite sums of rational functions

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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: 303 - 308

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): 2, Downloads (12 Months): 10, Citation Count: 9

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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.

	Abr75	Abramov, S.A. The rational component of the solution of a first- order linear recurrence relation with a rational right-hand side. U.S.S.R. Comput. Maths. Math. Phys. 15. Transl. from Zh. vychisl, mat. mat. fiz., 15, 1035-1039.
	Abr95	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]
	AbrKva93	S. A. Abramov , K. Yu. Kvashenko, On the greatest common divisor of polynomials which depend on a parameter, Proceedings of the 1993 international symposium on Symbolic and algebraic computation, p.152-156, July 06-08, 1993, Kiev, Ukraine [doi>10.1145/164081.164112]
	Her1872	Hermite, Ch. Sur L'integration des fractions rationelles. Nouvelles Annales de Mathematiques (2 serie) I_A_I, 145-148.
	Ost1845	Ostrogradsky, M. De l'integration des fractions rationelles. Bull. de la classe physico-mathematique de l'Academie Imperiale des Sciences de Saint-Petersburg. Tome IV, i47-168, 286-300.
	Pau93	Paule, P. Greatest-factorial factorization and symbolic summation I. RISC-Linz Report Series No. 93-02, p.71.

CITED BY 9

	S. A. Abramov , M. Petkovsek, Rational normal forms and minimal decompositions of hypergeometric terms, Journal of Symbolic Computation, v.33 n.5, p.521-543, May 2002
	H. Q. Le, A direct algorithm to construct the minimal Z-pairs for rational functions, Advances in Applied Mathematics, v.30 n.1/2, p.137-159, January 2003
	S. A. Abramov, When does Zeilberger's algorithm succeed?, Advances in Applied Mathematics, v.30 n.3, p.424-441, April 2003
	J. Gerhard , M. Giesbrecht , A. Storjohann , E. V. Zima, Shiftless decomposition and polynomial-time rational summation, Proceedings of the 2003 international symposium on Symbolic and algebraic computation, p.119-126, August 03-06, 2003, Philadelphia, PA, USA
	S. A. Abramov , H. Q. Le, A criterion for the applicability of Zeilberger's algorithm to rational functions, Discrete Mathematics, v.259 n.1-3, p.1-17, 28 December 2002
	Sergei A. Abramov , M. Petkovsek, Minimal decomposition of indefinite hypergeometric sums, Proceedings of the 2001 international symposium on Symbolic and algebraic computation, p.7-14, July 2001, London, Ontario, Canada
	Ha Le, Simplification of definite sums of rational functions by creative symmetrizing method, Proceedings of the 2002 international symposium on Symbolic and algebraic computation, p.161-167, July 07-10, 2002, Lille, France
	S. A. Abramov, Applicability of Zeilberger's algorithm to hypergeometric terms, Proceedings of the 2002 international symposium on Symbolic and algebraic computation, p.1-7, July 07-10, 2002, Lille, France
	H. Q. Le, On the q-Analogue of Zeilberger's Algorithm to Rational Functions, Programming and Computing Software, v.27 n.1, p.35-42, January-February 2001