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-$1/{\pi }^4$, one $1/{\pi }^3$ formulas as well as a remarkable series for $\zeta (5)$.

References in corpus (1)

• Multiple zeta values, WZ-pairs and infinite sums computations

Cited by in corpus (1)

• The WZ method and flawless WZ pairs