Recently, Dolgy–Jang introduced the poly-Genocchi polynomials and numbers arising from the modified polyexponential function. In this paper, we study the degenerate poly-Genocchi polynomials and numbers constructed from the modified degenerate polyexponential function. We derive explicit expressions for those polynomials and numbers. Also, we obtain identities involving those polynomials and numbers and some other special numbers and polynomials. In addition, we investigate the higher-order degenerate Genocchi polynomials and find identities involving those polynomials and the higher-order Changhee polynomials.

中文翻译：

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关于简并Genocchi和多Genocchi数和多项式的注释

最近，Dolgy-Jang引入了由修正的指数函数引起的多项式Genocchi多项式和数字。在本文中，我们研究了简并多元Genocchi多项式和由修改后的简并多指数函数构造的数。我们为这些多项式和数字得出明确的表达式。此外，我们获得涉及这些多项式和数字以及其他一些特殊数字和多项式的恒等式。此外，我们研究了高阶简并Genocchi多项式，并找到了涉及这些多项式和高阶Changhee多项式的恒等式。