Markov's Transformation of Series and the WZ Method
Classical Analysis and ODEs
2019-10-17 v4 History and Overview
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.
Cite
@article{arxiv.math/0405592,
title = {Markov's Transformation of Series and the WZ Method},
author = {Margo Kondratieva and Sergey Sadov},
journal= {arXiv preprint arXiv:math/0405592},
year = {2019}
}
Comments
19 pp., preprint. The definitive version to appear in Advances in Applied Math