Bijective enumerations for symmetrized poly-Bernoulli polynomials

被引：0

作者：

Hirose, Minoru ^{[1
]}

Matsusaka, Toshiki ^{[1
]}

Sekigawa, Ryutaro ^{[2
]}

Yoshizaki, Hyuga ^{[2
]}

机构：

[1] Nagoya Univ, Inst Adv Res, Nagoya, Aichi, Japan

[2] Tokyo Univ Sci, Grad Sch Sci & Technol, Chiba, Japan

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2022年 / 29卷 / 03期

关键词：

D O I：

10.37236/10598

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, B ' enyi 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.

引用

页数：18

共 50 条

[1] Symmetrized Poly-Bernoulli Numbers and Combinatorics
Matsusaka, Toshiki
JOURNAL OF INTEGER SEQUENCES, 2020, 23 (09)
[2] On the combinatorics of symmetrized poly-Bernoulli numbers
Benyi, Beata
Matsusaka, Toshiki
ELECTRONIC JOURNAL OF COMBINATORICS, 2021, 28 (01): : 1 - 20
[3] A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
D. Kim
T. Kim
Russian Journal of Mathematical Physics, 2015, 22 : 26 - 33
[4] ON MULTI POLY-BERNOULLI POLYNOMIALS
Corcino, Cristina B.
Corcino, Roberto B.
Komatsu, Takao
Jolany, Hassan
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (02): : 21 - 34
[5] A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
Kim, D.
Kim, T.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2015, 22 (01) : 26 - 33
[6] POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
Bayad, Abdelmejid
Hamahata, Yoshinori
KYUSHU JOURNAL OF MATHEMATICS, 2011, 65 (01) : 15 - 24
[7] Representations of degenerate poly-Bernoulli polynomials
Taekyun Kim
Dae San Kim
Jongkyum Kwon
Hyunseok Lee
Journal of Inequalities and Applications, 2021
[8] Representations of degenerate poly-Bernoulli polynomials
Kim, Taekyun
Kim, Dae San
Kwon, Jongkyum
Lee, Hyunseok
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[9] A parametric kind of the poly-Bernoulli polynomials
Ghayasuddin, Mohd
Sharma, Sunil K.
Khan, Waseem A.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (04): : 309 - 321
[10] A Note on the Poly-Bernoulli Polynomials of the Second Kind
Yun, Sang Jo
Park, Jin-Woo
JOURNAL OF FUNCTION SPACES, 2020, 2020

← 1 2 3 4 5 →