高阶退化Bernoulli数和多项式

DEGENERATE BERNOULLI NUMBERS AND POLYNOMIALS OF HIGHER ORDER

本文研究了高阶退化Bernoulli数和多项式的两个显明公式,得到了一个包含高阶Bernoulli数和Stirling数的恒等式,并推广了F.H.Howard[1],S.Shirai和K.I.Sato[7]的结果.

In this paper, we prove two explicit formulas for degenerate Bernoulli numbers and polynomials of higher order, and obtain an identity involving Bernoulli numbers of higher order and Stirling numbers. We extend and improve the results of F.H.Howard~[1], S.Shirai and K.I.Sato~[7].