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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
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.07.535
Page Count: 15
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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a sinc integral evaluation, first posed in this Monthly in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in [1970, p. 657].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.
Copyright the Mathematical Association of America 2012