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<p>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.</p>

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General algebraic identities and consequences

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Said Zriaa,
  • Mohammed Mouçouf

摘要

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.