On Zeilberger ’ s algorithm and its q-analogue : a rigorous description

@inproceedings{Koornwinder2005OnZ,
  title={On Zeilberger ’ s algorithm and its q-analogue : a rigorous description},
  author={Tom H. Koornwinder},
  year={2005}
}
Gosper’s and Zeilberger’s algorithms for summation of terminating hypergeometric series as well as the q-versions of these algorithms are described in a very rigorous way. The paper is a companion to Maple V procedures implementing these algorithms. It concludes with the help information for these procedures. 

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