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arXiv · 2312.14051

Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Kam Cheong Au
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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-$1/π^4$, one $1/π^3$ formulas as well as a remarkable series for $ζ(5)$.

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Kam Cheong Au. 2024-10-10. Wilf-Zeilberger seeds and non-trivial hypergeometric identities. https://doi.org/10.1016/j.jsc.2025.102421

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