论文标题
在广义的退化欧拉 - 基因加基多项式上
On generalized degenerate Euler-Genocchi polynomials
论文作者
论文摘要
我们引入了广义的退化Euler-Genocchi多项式,作为Euler-Genocchi多项式的退化版本。此外,我们介绍了它们的高阶版本,即级α的普遍退化的Euler-genocchi多项式,作为阶级α级多项式多项式的变性版本。本文的目的是研究涉及这些多项式的某些属性和身份,广义下降阶乘,阶阶的退化欧拉多项式,第二种的退化stirl数量以及整数的交替退化功率总和。
We introduce the generalized degenerate Euler-Genocchi polynomials as a degenerate version of the Euler-Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler-Genocchi polynomials of order α, as a degenerate version of the generalized Euler-Genocchi polynomials of order α. The aim of this paper is to study certain properties and identities involving those polynomials, the generalized falling factorials, the degenerate Euler polynomials of order α, the degenerate Stirling numbers of the second kind, and the alternating degenerate power sum of integers.