We will discuss the properties of a family of integrals involving the cardinal sine fuction, first studied by Borwein & Borwein. The aim is to provide a physicist’s perspective onto a curious change of behaviour occurring within this family, noticed when benchmarking computer algebra packages, and initially attributed to a bug. A number of non-trivial generalizations will be obtained in a calculation-free way.
E. Trizac - When random walkers help solving intriguing integrals ensi etawanya paul kafeero
Emmanuel Trizac
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