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霍夫曼和根切夫组合特性的重述和概括

IF 1.1 3区 数学 Q1 MATHEMATICS
Results in Mathematics Pub Date : 2024-04-13 DOI:10.1007/s00025-024-02160-0
Chun-Ying He, Feng Qi
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引用次数: 0

摘要

在这篇论文中，作者从本质上观察到，1992 年发现的霍夫曼组合同一性和 2024 年扩展的根切夫组合同一性可以用完整的贝尔多项式重新表述。他们提供了替代证明，并对这些组合同一性进行了一些基本概括。
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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Reformulations and Generalizations of Hoffman’s and Genčev’s Combinatorial Identities

In the paper, the authors intrinsically observe that Hoffman’s combinatorial identity discovered in 1992 and Genčev’s combinatorial identities extended in 2024 can be reformulated in terms of complete Bell polynomials. They provide alternative proofs and offer some elementary generalizations of these combinatorial identities.

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来源期刊
Results in Mathematics
Results in Mathematics 数学-数学
CiteScore
1.90
自引率
4.50%
发文量
198
审稿时长
6-12 weeks
期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.
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