Geodesic
The Markov-WZ method
The electronic journal of combinatorics, Tome 11 (2004) no. 1

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl EuDML
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 
Mohamud Mohammed; Doron Zeilberger. The Markov-WZ method. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1806
@article{10_37236_1806,
     author = {Mohamud Mohammed and Doron Zeilberger},
     title = {The {Markov-WZ} method},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1806},
     zbl = {1072.33016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1806/}
}
TY  - JOUR
AU  - Mohamud Mohammed
AU  - Doron Zeilberger
TI  - The Markov-WZ method
JO  - The electronic journal of combinatorics
PY  - 2004
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1806/
DO  - 10.37236/1806
ID  - 10_37236_1806
ER  - 
%0 Journal Article
%A Mohamud Mohammed
%A Doron Zeilberger
%T The Markov-WZ method
%J The electronic journal of combinatorics
%D 2004
%V 11
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/1806/
%R 10.37236/1806
%F 10_37236_1806

Cité par Sources :