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math.CO2014
The Method of Multiple Combinatorial Telescoping
Daniel K. Du, Qing-Hu Hou, Charles B. Mei
We generalize the method of combinatorial telescoping to the case of multiple summations. We shall demonstrate this idea by giving combinatorial proofs for two identities of Andrew…
math.CO2014★ 4 cited
Abel's Lemma and Identities on Harmonic Numbers
Hai-Tao Jin, Daniel K. Du
Recently, Chen, Hou and Jin used both Abel's lemma on summation by parts and Zeilberger's algorithm to generate recurrence relations for definite summations. Meanwhile, they propos…