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Journal Article

A Sinc that Sank

David Borwein, Jonathan M. Borwein and Armin Straub
The American Mathematical Monthly
Vol. 119, No. 7 (August‒September 2012), pp. 535-549
DOI: 10.4169/amer.math.monthly.119.07.535
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.07.535
Page Count: 15
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A Sinc that Sank
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Abstract

Abstract We resolve and further study a sinc integral evaluation, first posed in this Monthly in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in [1970, p. 657].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 more general structure of the integrals in question.

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