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http://dx.doi.org/10.4134/CKMS.c200133

ASYMPTOTIC EVALUATION OF ${{\int}_{0}^{\infty}}(\frac{sin\;x}{x})^n\;dx$

Schlage-Puchta, Jan-Christoph (Mathematisches Institut Universitat Rostock)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1193-1202 More about this Journal

Abstract

We consider the integral ${{\int}_{0}^{\infty}}(\frac{sin\;x}{x})^n\;dx$ 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.

Keywords

Sine integral; asymptotic expan;

Citations & Related Records

Reference

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