- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Asymptotic evaluation of $\int_0^\infty(\sin x/x)^ndx$ Commun. Korean Math. Soc.Published online August 4, 2020 Jan-Christoph Schlage-Puchta University of Rostock 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. Keywords : sine integral, asymptotic expansion MSC numbers : 26D15, 33F05 Full-Text :