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.

中文翻译：

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第二类Bernoulli多项式的渐近行为和零

本文的主要目的是仔细研究第二类伯努利多项式的零点的渐近行为。结果表明，零都是真实且简单的。小零，大零和中间零的渐近展开式会更详细地计算。该分析基于第二种类型的伯努利多项式在各种状态下的渐近展开。