Geodesic
Hypergeometric series acceleration via the WZ method
The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2
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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 $\zeta(3)$.
DOI : 10.37236/1318
Classification : 05A19
Mots-clés : hypergeometric series, WZ method, acceleration, identities, zeta function 
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     author = {Tewodros Amdeberhan and Doron Zeilberger},
     title = {Hypergeometric series acceleration via the {WZ} method},
     journal = {The electronic journal of combinatorics},
     year = {1997},
     volume = {4},
     number = {2},
     doi = {10.37236/1318},
     zbl = {0884.05010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1318/}
}
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Tewodros Amdeberhan; Doron Zeilberger. Hypergeometric series acceleration via the WZ method. The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2. doi: 10.37236/1318

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