论文标题
中央二项式系列，欧拉多项式和poly-bernoulli数字之间的显着关系
Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers
论文作者
论文摘要
负整数处的中央二项式序列表示为某些两个多项式的值的线性组合。我们表明，一个多项式是双变量欧拉多项式的特殊值，而另一个多项式与poly-bernoulli数的抗副总和有关。作为应用程序，我们证明了斯蒂芬从2004年开始的观察。
The central binomial series at negative integers are expressed as a linear combination of values of certain two polynomials. We show that one of the polynomials is a special value of the bivariate Eulerian polynomial and the other polynomial is related to the antidiagonal sum of poly-Bernoulli numbers. As an application, we prove Stephan's observation from 2004.
