一般代数恒等式及其结果

IF 0.7 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2025-05-28 DOI:10.1007/s13370-025-01325-6

Said Zriaa, Mohammed Mouçouf

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引用次数: 0

摘要

部分分式分解技术在建立许多有趣的公式中起着核心作用，这些公式可以应用于组合学、数论和其他主题。本文给出了部分分式分解的一般显式公式，它是对文献中几种公式的统一推广。所有已知的恒等式都是我们的特例。我们在这里使用的主要工具是一些优雅的代数技巧。

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General algebraic identities and consequences

The partial fraction decomposition technique plays a central role in establishing many interesting formulas, which may have applications to combinatorics, number theory, and other topics. In this paper, we present general explicit formulas for partial fraction decompositions which are a unified generalization of several formulas in the literature. All the well-known identities are special cases of ours. Our main tools used here are some elegant algebraic techniques.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量