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Abstract for Axel Riese, A Generalization of Gosper's Algorithm
to Bibasic Hypergeometric Summation

An algebraically motivated generalization of Gosper's algorithm to 
indefinite bibasic hypergeometric summation is presented. 
In particular, it is shown how Paule's concept of greatest factorial 
factorization of polynomials can be extended to the bibasic case. 
It turns out that most of the bibasic hypergeometric summation identities 
from literature can be proved and even found this way. 
A Mathematica implementation of the algorithm is available from the author.

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