arminstraub.com

A sinc that sank

A sinc that sank
David Borwein, Jonathan M. Borwein, Armin Straub — American Mathematical Monthly — Volume 119, Number 7, 2012, Pages 535-549

Abstract

We resolve and further study a sinc integral evaluation, first posed in the American Mathematical Monthly in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in [1970, p. 657]. After a short introduction to the problem and its history, we give a general evaluation which we make entirely explicit in the case of the product of three sinc functions. Finally, we exhibit some general structure of the integrals in question.

Download

LinkSizeDescriptionHits
557.68 KB Preprint (PDF, 20 pages) 1892

BibTeX

@article{sinc-sank-2012,
    author = {David Borwein and Jonathan M. Borwein and Armin Straub},
    title = {A sinc that sank},
    journal = {American Mathematical Monthly},
    year = {2012},
    volume = {119},
    number = {7},
    pages = {535--549},
    doi = {10.4169/amer.math.monthly.119.07.535},
}
Date: 2011/08/20
3594 reads