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                                       Details for article 15 of 37 found articles
 
 
  Deconstructing the Zeilberger algorithm†
 
 
Title: Deconstructing the Zeilberger algorithm†
Author: Zeilberger, Doron
Appeared in: Journal of difference equations and applications
Paging: Volume 11 (2005) nr. 9 pages 851-856
Year: 2005-08-01
Contents: By looking under the hood of Zeilberger's algorithm, as simplified by Mohammed and Zeilberger, it is shown that all the classical hypergeometric closed-form evaluations can be discovered ab initio, as well as many “strange” ones of Gosper, Maier, and Gessel and Stanton. The accompanying Maple package FindHypergeometric explains the various miracles that account for the classical evaluations, and the more specialized Maple package twoFone, also accompanying this article, finds many “strange” 2F1 evaluations, and these discoveries are in some sense, exhaustive. Hence WZ theory is transgressing the boundaries of the context of justification into the context of discovery.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 15 of 37 found articles
 
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