On the q-analogue of Zeilberger's algorithm to rational functions

Programming and Computer Software

Volumn 27, Issue 1, 2001, Pages 35-42

  Le, H Q ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038976312     PISSN: 03617688     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007186703355     Document Type: Article

References (13)

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2. Abramov, S.A., Rational Component of the Solutions of a First-Order Linear Recurrence Relation with a Rational Right-Hand Side, USSR Comput. Math. Phys. Transl. from Zh. Vychisl. Mat. Mat. Fiz., 1975, vol. 14, pp. 1035-1039.
3. Abramov, S.A., Indefinite Sums of Rational Functions. Proc. ISSAC'95, 1995, pp. 303-308.
4. Abramov, S.A., A Note on Zeilberger's Algorithm and Proper Terms. Proc. Seventh Rhine Workshop on Computer Algebra, March 22-24, 2000, Bregenz, Austria, 2000.
5. Abramov, S.A. and Le, H.Q., Applicability of Zeilberger's Algorithm to Rational Functions. Proc. FPSAC'00, 2000, pp. 91-102.
6. Böing, H. and Koepf, W., Algorithms for q-Hypergeometric Summation in Computer Algebra, J. Symb. Comput., 1999, vol. 11, pp. 1-23.
7. Graham, R., Knuth, D., and Patashnik, O., Concrete Mathematics, Reading (MA): Addison Wesley, 1994, 2nd ed.
8. Koornwinder, T.H., On Zeilberger's Algorithm and Its q-Analogue, J. Comp. Appl. Math., 1993, vol. 48, pp. 91-111.
9. Petkovšek, M., Wilf, H., and Zeilberger, D., A = B, Wellesley: A.K. Peters, 1996.
10. Riese, A., A Mathomatica q-Analogue of Zeilberger's Algorithm for Proving q-Hypergeometric Identities, Diploma Thesis, University of Linz, Linz, 1995.
11. Walker, R.J., Algebraic Curves, Princeton Univ. Press, 1950.
12. Wilf, H. and Zeilberger, D., An Algorithmic Proof Theory for Hypergeometric (Ordinary and "q") Multisum/Integral Identities, Inventiones Mathematicae, 1992, vol. 108, pp. 575-633.
13. Zeilberger, D., The Method of Creative Telescoping, J. Symb. Comput., 1991, vol. 11, pp. 195-204.