Hypergeometric Series Acceleration Via the WZ method

Tewodros Amdeberhan, Doron Zeilberger


Based on the WZ method, some series acceleration formulas are given. These formulas allow us to write down an infinite family of parameterized identities from any given identity of WZ type. Further, this family, in the case of the Zeta function, gives rise to many accelerated expressions for $\zeta(3)$.

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