Hypergeometric Series Acceleration Via the WZ method

Details Hypergeometric Series Acceleration Via the WZ method Hypergeometric Series Acceleration Via the WZ method

1998-04-24

arxiv.org/abs/math/9804121v1

Elec. J. Combin., 4 (2) (1997),[Wilf Festschrifft Volume]

Mathematics

Combinatorics

4 pages. See also http://www.math.temple.edu/~zeilberg/mamarim/mamarimhtml/accel.html

Scientific paper

Based on the WZ method, some series acceleration formulas are given. These formulas allow to write down an infinite family of parametrized identities from any given identity of WZ type. Further, this family, in the case of the Riemann Zeta function, gives rise to many accelerated expressions for $\zeta(3)$. The present method produced a formula, given at the end of the paper, that was used recently Sebastian Wedeniwski to compute Apery's constant to more than 32 million digits, holding the present record!

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