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arXiv 2403.16670math.NTmath.PR
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概率二元Bell多项式

Probabilistic bivariate Bell polynomials

Taekyun Kim, Dae san Kim

AI总结:

本文研究了矩母函数存在的随机变量相关的概率二元Bell多项式与概率二元r-Bell多项式,并推导出对应于Zheng和Li所得递推关系的递推关系。

摘要:

设Y为原点某邻域内矩母函数存在的随机变量。我们考虑与Y相关的概率二元Bell多项式及与Y相关的概率二元r-Bell多项式。对于这些多项式,我们推导出对应于Zheng和Li针对二元Bell多项式与二元r-Bell多项式所得递推关系的递推关系。

英文摘要:

Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. We consider the probabilistic bivariate Bell polynomials associated with Y and the probabilistic bivariate r-Bell polynomials associated with Y. For those polynomials, we derive the recurrence relations corresponding to the ones found by Zheng and Li for the bivariate Bell polynomials and the bivariate r-Bell polynomials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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