The Markov-WZ Method

The Markov-WZ Method
By Mohamud Mohammed and Doron Zeilberger
.pdf .ps .tex
Appeared in Elec. J. Combinatorics 11(2004), R53.
Written: May 28, 2004.
Margo Kondratieva and Sergey Sadov's amazing historical discovery that Andrei Markov, of Markov Chains fame, "scooped" WZ (well, not quite!, read the article), turned out to be more than of historical value, since, while Markov lacked some of the central ideas of WZ theory, he also had an idea that WZ didn't have! If you add this on, you get a new-improved concept of WZ-pair, that we call MWZ pairs.

VERY IMPORTANT: This article is accompanied by the Maple packages

MarkovWZ, To use it, first download it, saving it as MarkovWZ, then stay in the same directory, go into Maple, and type:
read MarkovWZ:
and follow the on-line instructions.
MarkovAZ, To use it, stay in the same directory, go into Maple, and type:
read MarkovAZ:
and follow the on-line instructions.
ContMarkovWZ, To use it, first download it, saving it as ContMarkovWZ, then stay in the same directory, go into Maple, and type:
read ContMarkovWZ:
and follow the on-line instructions.
IMPORTANT: Many Examples can be found in Examples page for MarkovWZ
Doron Zeilberger's List of Papers
Doron Zeilberger's Home Page