The method of creative telescoping
Journal of Symbolic Computation
On Zeilberger's algorithm and its q-analogue
VII SPOA Proceedings of the seventh Spanish symposium on Orthogonal polynomials and applications
Indefinite sums of rational functions
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
Algorithm for q-hypergeometric summation in computer algebra
Journal of Symbolic Computation - Special issue on orthogonal polynomials and computer algebra
Concrete Math
Applicability of Zeilberger's algorithm to hypergeometric terms
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
A criterion for the applicability of Zeilberger's algorithm to rational functions
Discrete Mathematics
A direct algorithm to construct the minimal Z-pairs for rational functions
Advances in Applied Mathematics - Special issue on: Formal power series and algebraic combinatorics in memory of Rodica Simion, 1955-2000
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We consider the applicability (or terminating conditions) of the q-analogue of Zeilberger's algorithm and give the complete solution to this problem for the case when the original q-hypergeometric term is a rational function.