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arXiv · 2010.11759

Asymptotic evaluation of $\int_0^\infty\left(\frac{\sin x}{x}\right)^n\;dx$

Jan-Christoph Schlage-Puchta
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Abstract

We consider the integral $\int_0^\infty\left(\frac{\sin x}{x}\right)^n\;dx$ as a function of the positive integer $n$. We show that there exists an asymptotic series in $\frac{1}{n}$ and compute the first terms of this series together with an explicit error bound.

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BibTeXRIS

Jan-Christoph Schlage-Puchta. 2020-10-22. Asymptotic evaluation of $\int_0^\infty\left(\frac{\sin x}{x}\right)^n\;dx$. https://doi.org/10.4134/ckms.c200133

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