About this document
Borwein Integral Properties and Proofs by Tune Lis is a document available to read on EtoBox.
This document discusses two curious integrals involving the sinc function. It summarizes an article that explains why a sequence of integrals of sinc functions multiplied together equals π/2 up to a certain point, but then breaks down. The article presents a simpler, graphical proof using Fourier transforms to illustrate why the pattern changes. It also shows that with an additional 2cos(t) factor, the sequence does not break down until much later.
- Author
- Tune Lis
- Language
- EN