Geodesic
Bijective enumerations for symmetrized poly-Bernoulli polynomials
Minoru Hirose1 ; Toshiki Matsusaka1 ; Ryutaro Sekigawa2 ; Hyuga Yoshizaki2
1Nagoya University
2Tokyo University of science
The electronic journal of combinatorics, Tome 29 (2022) no. 3

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Zbl DOI arXiv
Recently, Bényi and the second author introduced two combinatorial interpretations for symmetrized poly-Bernoulli polynomials. In the present study, we construct bijections between these combinatorial objects. We also define various combinatorial polynomials and prove that all of these polynomials coincide with symmetrized poly-Bernoulli polynomials.
DOI : 10.37236/10598
Classification : 05A15, 05A19, 11B68
Mots-clés : enumeration problems, Callan sequences

Minoru Hirose  1   ; Toshiki Matsusaka  1   ; Ryutaro Sekigawa  2   ; Hyuga Yoshizaki  2

1 Nagoya University
2 Tokyo University of science 
Minoru Hirose; Toshiki Matsusaka; Ryutaro Sekigawa; Hyuga Yoshizaki. Bijective enumerations for symmetrized poly-Bernoulli polynomials. The electronic journal of combinatorics, Tome 29 (2022) no. 3. doi: 10.37236/10598
@article{10_37236_10598,
     author = {Minoru Hirose and Toshiki Matsusaka and Ryutaro Sekigawa and Hyuga Yoshizaki},
     title = {Bijective enumerations for symmetrized {poly-Bernoulli} polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2022},
     volume = {29},
     number = {3},
     doi = {10.37236/10598},
     zbl = {1496.05004},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10598/}
}
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