Some extensions of Chu's formulas and further combinatorial identities

Said Zriaa; Mohammed Mouçouf

Mathematica Bohemica (2024)

  • Volume: 149, Issue: 3, page 397-408
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Zriaa, Said, and Mouçouf, Mohammed. "Some extensions of Chu's formulas and further combinatorial identities." Mathematica Bohemica 149.3 (2024): 397-408. <http://eudml.org/doc/299456>.

@article{Zriaa2024,
abstract = {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.},
author = {Zriaa, Said, Mouçouf, Mohammed},
journal = {Mathematica Bohemica},
keywords = {partial fraction decomposition; polynomial; combinatorial identity; harmonic number; generalized harmonic number; complete Bell polynomial},
language = {eng},
number = {3},
pages = {397-408},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some extensions of Chu's formulas and further combinatorial identities},
url = {http://eudml.org/doc/299456},
volume = {149},
year = {2024},
}

TY - JOUR
AU - Zriaa, Said
AU - Mouçouf, Mohammed
TI - Some extensions of Chu's formulas and further combinatorial identities
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 3
SP - 397
EP - 408
AB - 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.
LA - eng
KW - partial fraction decomposition; polynomial; combinatorial identity; harmonic number; generalized harmonic number; complete Bell polynomial
UR - http://eudml.org/doc/299456
ER -

References

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