完全退化的Poly-Genocchi多项式
Fully Degenerate Poly-Genocchi Polynomials
摘要: 结合意大利学者A. Genocchi于1852年关于经典Genocchi数的定义，美国学者L. Carlitz于1956年关于退化Bernoulli数的定义，日本学者M. Kaneko于1999年关于poly-Bernolli数的定义，以及韩国学者T. Kim等人于2016年关于完全退化的poly-Bernoulli多项式的定义，本文给出了完全退化的poly-Genocchi多项式的定义，研究了它们的性质，并得到了关于它们的五个组合恒等式。
Abstract: Combing A. Genocchi’s definition of the Genocchi numbers in 1852, L. Carlitz’s definition of the degenerate Bernoulli numbers in 1956, M. Kaneko’s definition of poly-Bernoulli numbers in 1999 and T. Kim et al.’s definition of fully degenerate poly-Bernoulli polynomials in 2016, in this paper, we introduce the notion of the fully degenerate poly-Genocchi polynomials, we also investigate their properties and prove five combinatorial identities of them.
文章引用：秦松. 完全退化的Poly-Genocchi多项式[J]. 理论数学, 2020, 10(4): 345-355. https://doi.org/10.12677/PM.2020.104044

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