Dougall’s \(_5F_4\) sum and the WZ algorithm
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Abstract
We show how to prove the examples of a paper by Chu and Zhang using the WZ algorithm.
Keywords
Generalized hypergeometric series Dougall’s sum WZ algorithm Ramanujan-type series Evaluation of constantsMathematics Subject Classification
33C20 33F10 11Y60References
- 1.Chu, W., Zhang, W.: Accelerating Dougall’s \(_5F_4\)-sum and infinite series involving \(\pi \). Math. Comp. 83, 475–512 (2014)MathSciNetCrossRefMATHGoogle Scholar
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- 3.Wilf, H., Zeilberger, D.: Rational functions certify combinatorial identities. J. Am. Math. Soc. 3(1), 147–158 (1990)MathSciNetCrossRefMATHGoogle Scholar
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