论文标题
第二种Bernoulli多项式的渐近行为和零
Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind
论文作者
论文摘要
本文的主要目的是仔细研究第二类Bernoulli多项式零的渐近行为。结果表明，零都是真实而简单的。更详细地计算出小，大和中部零的渐近扩展。该分析基于在各种方案中第二种伯诺利多项式的渐近扩展。
The main aim of this article is a careful investigation of the asymptotic behavior of zeros of Bernoulli polynomials of the second kind. It is shown that the zeros are all real and simple. The asymptotic expansions for the small, large, and the middle zeros are computed in more detail. The analysis is based on the asymptotic expansions of the Bernoulli polynomials of the second kind in various regimes.
