Geodesic
The Markov-WZ method
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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Andrei Markov's 1890 method for convergence-acceleration of series bears an amazing resemblance to WZ theory, as was recently pointed out by M. Kondratieva and S. Sadov. But Markov did not have Gosper and Zeilberger's algorithms, and even if he did, he wouldn't have had a computer to run them on. Nevertheless, his beautiful ad-hoc method, when coupled with WZ theory and Gosper's algorithm, leads to a new class of identities and very fast convergence-acceleration formulas that can be applied to any infinite series of hypergeometric type.
DOI : 10.37236/1806
Classification : 33F10, 05A10, 41A25
Mots-clés : WZ method, hypergeometric identities, convergence-acceleration of series, Gosper's algorithm, Zeilberger's algorithm 
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Mohamud Mohammed; Doron Zeilberger. The Markov-WZ method. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1806

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