退化下降阶乘值之和递推关系的概率证明

arXiv - MATH - Number Theory Pub Date : 2024-09-12 DOI:arxiv-2409.07742

Taekyun Kim, Dae san Kim

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摘要

在本文中，我们考虑了退化下降阶乘的值之和，并给出了它们的递推关系的概率证明。这可以看作是最近关于整数幂和的概率证明的退化版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A probabilistic proof of a recurrence relation for sums of values of degenerate falling factorials

In this paper, we consider sums of values of degenerate falling factorials and give a probabilistic proof of a recurrence relation for them. This may be viewed as a degenerate version of the recent probabilistic proofs on sums of powers of integers.

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arXiv - MATH - Number Theory

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