Bijective enumerations for symmetrized poly-Bernoulli polynomials

Minoru Hirose; Toshiki Matsusaka; Ryutaro Sekigawa; Hyuga Yoshizaki

doi:10.37236/10598

Bijective enumerations for symmetrized poly-Bernoulli polynomials

Minoru Hirose, Toshiki Matsusaka, Ryutaro Sekigawa, Hyuga Yoshizaki

Research output: Contribution to journal › Article › peer-review

Abstract

Recently, Bényi and the second author introduced two combinatorial interpre-tations for symmetrized poly-Bernoulli polynomials. In the present study, we con-struct bijections between these combinatorial objects. We also define various combinatorial polynomials and prove that all of these polynomials coincide with sym-metrized poly-Bernoulli polynomials.

Original language	English
Article number	P3.44
Journal	Electronic Journal of Combinatorics
Volume	29
Issue number	3
DOIs	https://doi.org/10.37236/10598
Publication status	Published - 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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abstract = "Recently, B{\'e}nyi and the second author introduced two combinatorial interpre-tations for symmetrized poly-Bernoulli polynomials. In the present study, we con-struct bijections between these combinatorial objects. We also define various combinatorial polynomials and prove that all of these polynomials coincide with sym-metrized poly-Bernoulli polynomials.",

author = "Minoru Hirose and Toshiki Matsusaka and Ryutaro Sekigawa and Hyuga Yoshizaki",

note = "Funding Information: ∗Supported by JSPS KAKENHI Grant Number JP18K13392. †Supported by JSPS KAKENHI Grant Number JP20K14292. Publisher Copyright: {\textcopyright} The authors.",

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AU - Hirose, Minoru

AU - Matsusaka, Toshiki

AU - Sekigawa, Ryutaro

AU - Yoshizaki, Hyuga

N1 - Funding Information: ∗Supported by JSPS KAKENHI Grant Number JP18K13392. †Supported by JSPS KAKENHI Grant Number JP20K14292. Publisher Copyright: © The authors.

PY - 2022

Y1 - 2022

N2 - Recently, Bényi and the second author introduced two combinatorial interpre-tations for symmetrized poly-Bernoulli polynomials. In the present study, we con-struct bijections between these combinatorial objects. We also define various combinatorial polynomials and prove that all of these polynomials coincide with sym-metrized poly-Bernoulli polynomials.

AB - Recently, Bényi and the second author introduced two combinatorial interpre-tations for symmetrized poly-Bernoulli polynomials. In the present study, we con-struct bijections between these combinatorial objects. We also define various combinatorial polynomials and prove that all of these polynomials coincide with sym-metrized poly-Bernoulli polynomials.

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Bijective enumerations for symmetrized poly-Bernoulli polynomials

Abstract

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