Markov's Transformation of Series and the WZ Method

Details Markov's Transformation of Series and the WZ Method Markov's Transformation of Series and the WZ Method

2004-05-31

arxiv.org/abs/math/0405592v4

Mathematics

Classical Analysis and ODEs

19 pp., preprint. The definitive version to appear in Advances in Applied Math

Scientific paper

In a well forgotten memoir of 1890, Andrei Markov devised a convergence
acceleration technique based on a series transformation which is very similar
to what is now known as the Wilf-Zeilberger (WZ) method. We review Markov's
work, put it in the context of modern computer-aided WZ machinery, and
speculate about possible reasons of the memoir being shelved for so long.

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