In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their higher-order versions. We derive several explicit expressions of those polynomials and various identities involving them.

中文翻译：

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与第二种退化伯努利多项式相关的Zp $ \ mathbb {Z} _ {p} $上的p -Adic积分

在本文中，我们通过p -adic Volkenborn积分介绍和研究第二种类型的伯努利多项式的两个不同的简并版本，即部分和完全退化的第二种伯努利多项式以及它们的高阶版本。我们推导了这些多项式的几种显式表达式以及涉及它们的各种恒等式。