Abstract
We show how to prove the examples of a paper by Chu and Zhang using the WZ algorithm.
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References
Chu, W., Zhang, W.: Accelerating Dougall’s \(_5F_4\)-sum and infinite series involving \(\pi \). Math. Comp. 83, 475–512 (2014)
Petkovs̆ek, M., Wilf, H., Zeilberger, D.: A = B. A.K. Peters Ltd., Wellesley (1996)
Wilf, H., Zeilberger, D.: Rational functions certify combinatorial identities. J. Am. Math. Soc. 3(1), 147–158 (1990)
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Guillera, J. Dougall’s \(_5F_4\) sum and the WZ algorithm. Ramanujan J 46, 667–675 (2018). https://doi.org/10.1007/s11139-018-9998-6
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DOI: https://doi.org/10.1007/s11139-018-9998-6
Keywords
- Generalized hypergeometric series
- Dougall’s sum
- WZ algorithm
- Ramanujan-type series
- Evaluation of constants