Wilf-Zeilberger seeds and non-trivial hypergeometric identities
Abstract
Through a systematic approach on generating Wilf-Zeilberger-pairs, we prove some hypergeometric identities conjectures due to Z.W. Sun, J. Guillera and Y. Zhao etc., including two Ramanujan-1/π4, one 1/π3 formulas as well as a remarkable series for ζ(5).
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