论文标题
一些完全退化的Bernoulli数字和多项式的公式
Some formulas for fully degenerate Bernoulli numbers and polynomials
论文作者
论文摘要
本文的目的是研究完全退化的Bernoulli多项式和数字，这是Bernoulli多项式和数字的退化版本，并且自然而然地来自ZP上否定的指数级函数的Volkenborn积分。我们在第二种的退化stirling数字（第二种的退化r-strirling数字和退化的stirling strirling多项式元素的退化数字）方面找到了完全退化的bernoulli多项式和数字的一些明确表达式。 我们还考虑了退化的多晶状体多项式，并根据相同的退化stirling数字和多项式来得出明确的表示。
The aim of this paper is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on Zp. We find some explicit expressions for the fully degenerate Bernoulli polynomials and numbers in terms of the degenerate Stirling numbers of the second kind, the degenerate r-Stirling numbers of the second kind and of the degenerate Stirling polynomials. We also consider the degenerate poly-Bernoulli polynomials and derive explicit representations for them in terms of the same degenerate Stirling numbers and polynomials.
