论文标题

对称的poly-bernoulli数字和组合学

Symmetrized poly-Bernoulli numbers and combinatorics

论文作者

Matsusaka, Toshiki

论文摘要

多伯努利数字是经典伯努利数字的概括之一。由于负索引poly-bernoulli编号是一个整数,因此从组合观点研究此数字是一个有趣的问题。在这本简短的文章中,我们在对称的多伯努利数字和dumont-foata多项式之间提供了新的组合关系。

Poly-Bernoulli numbers are one of generalizations of the classical Bernoulli numbers. Since a negative index poly-Bernoulli number is an integer, it is an interesting problem to study this number from combinatorial viewpoint. In this short article, we give a new combinatorial relation between symmetrized poly-Bernoulli numbers and the Dumont-Foata polynomials.

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