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<p>As shown in [<CitationRef CitationID="CR5">5</CitationRef>], it is possible to use residue theory to evaluate Borwein integrals and other related integrals. In this paper, we find the residues in an alternative way using Maclaurin series expansions of exponential functions. Some new examples of these types of integrals are also given.</p>

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Borwein Integrals and Residue Theory

  • 期刊论文

  • 发表日期：

    2025年8月7日

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  • Russell A. Gordon

摘要

As shown in [5], it is possible to use residue theory to evaluate Borwein integrals and other related integrals. In this paper, we find the residues in an alternative way using Maclaurin series expansions of exponential functions. Some new examples of these types of integrals are also given.