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Some results on degenerate Daehee and Bernoulli numbers and polynomials
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2020-06-23 , DOI: 10.1186/s13662-020-02778-8
Taekyun Kim , Dae San Kim , Han Young Kim , Jongkyum Kwon

In this paper, we study a degenerate version of the Daehee polynomials and numbers, namely the degenerate Daehee polynomials and numbers, which were actually called the degenerate Daehee polynomials and numbers of the third kind and recently introduced by Jang et al. (J. Comput. Appl. Math. 364:112343, 2020). We derive their explicit expressions and some identities involving them. Further, we introduce the multiple degenerate Daehee numbers and higher-order degenerate Daehee polynomials and numbers which can be represented in terms of integrals on the unitcube. Again, we deduce their explicit expressions and some identities related to them.



中文翻译:

关于退化的Daehee和Bernoulli数和多项式的一些结果

在本文中,我们研究了Daehee多项式和数字的简并版本,即简并的Daehee多项式和数字,实际上称为第三类简并的Daehee多项式和简数,并且由Jang等人最近引入。(J.Comput.Appl.Math.364:112343,2020)。我们推导出它们的明确表述以及涉及它们的某些身份。此外,我们介绍了多个简并的Daehee数和高阶简并的Daehee多项式以及可以用单位立方体上的积分表示的数字。再次,我们推导出它们的显式表达以及与它们相关的某些标识。

更新日期:2020-06-23
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