REMARKABLE RELATIONS BETWEEN THE CENTRAL BINOMIAL SERIES, EULERIAN POLYNOMIALS, AND POLY-BERNOULLI NUMBERS, LEADING TO STEPHAN'S OBSERVATION
Author:
Affiliation:
1. Faculty of Water Sciences University of Public Service
2. Institute for Advanced Research Nagoya University
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/77/1/77_149/_pdf
Reference23 articles.
1. [1] T. Arakawa and M. Kaneko. On poly-Bernoulli numbers. Comment. Math. Univ. St. Pauli 48(2) (1999), 159-167. MR 1713681
2. [2] B. Bényi and P. Hajnal. Combinatorics of poly-Bernoulli numbers. Studia Sci. Math. Hungar. 52(4) (2015), 537-558. MR 3432984
3. [3] B. Bényi and P. Hajnal. Combinatorial properties of poly-Bernoulli relatives. Integers 17 (2017), A31. MR 3671793
4. [4] B. Bényi and T. Matsusaka. On the combinatorics of symmetrized poly-Bernoulli numbers. Electron. J. Combin. 28(1) (2021), paper no. 1.47. MR 4245280
5. [5] M. Bóna. Combinatorics of Permutations, 2nd edn (Discrete Mathematics and its Applications). CRC Press, Boca Raton, FL, 2012. MR 2919720
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