Some extensions of Chu's formulas and further combinatorial identities
Mathematica Bohemica, Tome 149 (2024) no. 3, pp. 397-408
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
DOI :
10.21136/MB.2023.0003-23
Classification :
05A10, 05A19, 11B65
Keywords: partial fraction decomposition; polynomial; combinatorial identity; harmonic number; generalized harmonic number; complete Bell polynomial
Keywords: partial fraction decomposition; polynomial; combinatorial identity; harmonic number; generalized harmonic number; complete Bell polynomial
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author = {Zriaa, Said and Mou\c{c}ouf, Mohammed},
title = {Some extensions of {Chu's} formulas and further combinatorial identities},
journal = {Mathematica Bohemica},
pages = {397--408},
year = {2024},
volume = {149},
number = {3},
doi = {10.21136/MB.2023.0003-23},
mrnumber = {4801108},
zbl = {07953709},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0003-23/}
}
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Zriaa, Said; Mouçouf, Mohammed. Some extensions of Chu's formulas and further combinatorial identities. Mathematica Bohemica, Tome 149 (2024) no. 3, pp. 397-408. doi: 10.21136/MB.2023.0003-23
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