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<p>We consider the limits of two integrals similar to those appearing in the Riemann–Lebesgue lemma. We then discuss the convergence of these limits by providing some examples. In one example, we consider a specific type of integral and demonstrate that it can be evaluated using the digamma function.</p>

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Evaluating Limits Related to the Riemann–Lebesgue Lemma Using the Digamma Function

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Himadri Lal Das

摘要

We consider the limits of two integrals similar to those appearing in the Riemann–Lebesgue lemma. We then discuss the convergence of these limits by providing some examples. In one example, we consider a specific type of integral and demonstrate that it can be evaluated using the digamma function.