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math.CA2011
The Abel-Zeilberger Algorithm
William Y. C. Chen, Qing-Hu Hou, Hai-Tao Jin
We use both Abel's lemma on summation by parts and Zeilberger's algorithm to find recurrence relations for definite summations. The role of Abel's lemma can be extended to the case…
math.CA2009★ 1 cited
The Extended Zeilberger's Algorithm with Parameters
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
For a hypergeometric series with parameters , Paule has found a variation of Zeilberger's algorithm to establish recurrence relations involv…