论文标题
退化多个多项式的表示
Representations of degenerate poly-Bernoulli polynomials
论文作者
论文摘要
众所周知，多项式多项式是根据聚类函数定义的。最近，作为此类函数和多项式的退化版本，引入了退化的聚类函数，并通过退化的聚类函数来定义脱胶多伯氏多项式，并研究了一些属性。本文的目的是通过使用来自最近开发的lambda-umbral演算的三个公式来研究Degenertae Poly-Bernoulli多项式的某些特性。更详细地说，除其他外，我们代表了高阶degenertae bernoulli多项式和高阶退化扰动多项式的退化多晶型多项式。
As is well-known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate version of such functions and polynomials, degenerate polylogarithm functions were introduced and degenertae poly-Bernoulli polynomials were defined by means of the degenerate polylogarithm functions, and some their properties were investigated. The aim of this paper is to furthur study some properties of the degenertae poly-Bernoulli polynomials by using three formulas coming from the recently developed lambda-umbral calculus. In more detail, among other things, we represent the degenerate poly-Bernoulli polynomials by higher-order degenertae Bernoulli polynomials and by higher-order degenerate derangements polynomials.
