Markov's Transformation of Series and the WZ Method
arXiv:math/0405592 · doi:10.1016/j.aam.2004.06.003
Abstract
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.
19 pp., preprint. The definitive version to appear in Advances in Applied Math