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Article

Zriaa, Said ; Mouçouf, Mohammed
Some extensions of Chu's formulas and further combinatorial identities. (English). Mathematica Bohemica, vol. 149 (2024), issue 3, pp. 397-408
MSC: 05A10, 05A19, 11B65 | MR 4801108 | Zbl 07953709 | DOI: 10.21136/MB.2023.0003-23
Keywords:
partial fraction decomposition; polynomial; combinatorial identity; harmonic number; generalized harmonic number; complete Bell polynomial
Summary:
We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
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