Recursion formulas for poly-Bernoulli numbers and their applications

Recursion formulas for poly-Bernoulli numbers and their applications
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聚伯努利数的递推公式及其应用

DOI:
10.1142/s1793042121500081
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发表时间:
2021
影响因子:
0.7
通讯作者:
Yasuo Ohno and Yoshitaka Sasaki
Yasuo Ohno and Yoshitaka Sasaki
中科院分区:
数学3区
文献类型:
--
作者:
Hajime One;Kazuhiro Minami and Hideitsu Hino;Yasuo Ohno and Yoshitaka Sasaki

文献摘要

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给出了广义多伯努利多项式的递推公式。该公式对Kaneko提出的一个问题给出了肯定的回答。作为应用,还讨论了Arakawa-Kaneko型zeta函数的湮灭公式和某类lonesum矩阵的计数公式.
Recurrence formulas for generalized poly-Bernoulli polynomials are given. The formula gives a positive answer to a question raised by Kaneko. Further, as applications, annihilation formulas for Arakawa-Kaneko type zeta-functions and a counting formula for lonesum matrices of a certain type are also discussed.