In mathematics, a Borwein integral is an integral whose unusual properties were first presented by mathematicians David Borwein and Jonathan Borwein in 2001. [1] . Borwein integrals involve …

Nov 8, 2024 · Our perfect pattern reaches an abrupt and rather anticlimactic end. It’s just off, but why? The integrals were originally observed by late father–son pair of mathematicians Jonathan and David …

Jan 29, 2026 · The Borwein integrals are the class of definite integrals defined by I_n=1/piint_0^inftyx^ (- (n+1)/2)product_ (k=1,3,...)^nsin (x/k)dx for odd n. The integrals are curious because the terms n=1, …

We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications. 1. Introduction. In Section 2 we use Fourier transform theory to …

IEL CAO L phenomena in contemporary mathematics. They were found in 2001 by David Borwein and Jonathan Borwein and consist of a simple family of integrals involving the cardinal sine function …

Multi-Variable sinc Integrals and the Volumes of Polyhedra Jonathan M. Borwein CECM, Simon Fraser University (Canada) October 22, 2001

Feb 27, 2024 · Borwein integrals and Bernoulli Sophomore’s Dream identity, from continuous to discrete C. Vignat, Tulane University and Paris Saclay with Zachary Bradshaw, Tulane University Boas and …