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Some properties of degenerate complete and partial Bell polynomials
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-06-23 , DOI: 10.1186/s13662-021-03460-3
Taekyun Kim , Dae San Kim , Jongkyum Kwon , Hyunseok Lee , Seong-Ho Park

In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are closely related to the degenerate complete and partial Bell polynomials, and the joint distribution of weighted sums of independent degenerate Poisson random variables.



中文翻译:

退化完全和部分贝尔多项式的一些性质

在本文中,我们研究了退化完全和部分贝尔多项式,并为这些多项式建立了一些新的恒等式。此外,我们研究了与退化完全和部分贝尔多项式密切相关的修正退化完全和部分贝尔多项式之间的联系,以及独立退化泊松随机变量的加权和的联合分布。

更新日期:2021-06-23
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