A fast algorithm for proving terminating hypergeometric identities

@article{Zeilberger1990AFA,
  title={A fast algorithm for proving terminating hypergeometric identities},
  author={Doron Zeilberger},
  journal={Discrete Mathematics},
  year={1990},
  volume={80},
  pages={207-211}
}
An algorithm for proving terminating hypergeometric identities, and thus binomial coefficients identities, is presented. It is based upon Gosper's algorithm for indefinite hypergeometric summation. A MAPLE program implementing this algorithm succeeded in proving almost all known identities. Hitherto the proof of such identities was an exclusively human endeavor. 
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