NewZeil.m

Sharp upper bounds for the orders of the recurrences output by the Zeilberger and $q$-Zeilberger algorithms We do what the title promises, and as a bonus, we get much simplified versions of these algorithms, that do not make any explicit mention of Gosper’s algorithm.

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References in zbMATH (referenced in 8 articles , 1 standard article )

Showing results 1 to 8 of 8.
Sorted by year (citations)

  1. Hou, Qing-Hu; Wang, Rong-Hua: An algorithm for deciding the summability of bivariate rational functions (2015)
  2. Kauers, Manuel; Yen, Lily: On the length of integers in telescopers for proper hypergeometric terms (2015)
  3. Chen, Shaoshi; Kauers, Manuel: Trading order for degree in creative telescoping (2012)
  4. Guo, Qiang-Hui; Hou, Qing-Hu; Sun, Lisa H.: Proving hypergeometric identities by numerical verifications (2008)
  5. Apagodu, Moa; Zeilberger, Doron: Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory (2006)
  6. Chen, Vincent Y.B.; Chen, William Y.C.; Gu, Nancy S.S.: The Abel lemma and the $q$-Gosper algorithm (2006)
  7. Sills, Andrew V.: Disturbing the Dyson conjecture, in a generally GOOD way (2006)
  8. Mohammed, Mohamud; Zeilberger, Doron: Sharp upper bounds for the orders of the recurrences output by the Zeilberger and $q$-Zeilberger algorithms (2005)