Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials. Recently, by using the polyexponential function, a number of generalizations of some polynomials and numbers have been presented and investigated. Motivated by these researches, in this paper, multi-poly-Euler polynomials are considered utilizing the degenerate multiple polyexponential functions and then, their properties and relations are investigated and studied. That the type 2 degenerate multi-poly-Euler polynomials equal a linear combination of the degenerate Euler polynomials of higher order and the degenerate Stirling numbers of the first kind is proved. Moreover, an addition formula and a derivative formula are derived. Furthermore, in a special case, a correlation between the type 2 degenerate multi-poly-Euler polynomials and degenerate Whitney numbers is shown.

中文翻译：

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关于第 2 类退化多元欧拉多项式的注释

Kim 和 Kim (Russ. J. Math. Phys. 26, 2019, 40-49) 引入了多指数函数作为多对数函数的逆，并由此构建了一种新型的多伯努利多项式。最近，通过使用多指数函数，已经提出和研究了一些多项式和数字的一些推广。受这些研究的启发，本文利用退化的多重多指数函数考虑了多元-poly-Euler多项式，并对其性质和关系进行了研究和研究。证明了第 2 类退化多元多欧拉多项式等于高阶退化欧拉多项式和第一类退化斯特林数的线性组合。此外，推导出加法式和导数式。此外，