A Sinc that Sank

作者:Borwein David*; Borwein Jonathan M; Straub Armin
来源:American Mathematical Monthly, 2012, 119(7): 535-549.
DOI:10.4169/amer.math.monthly.119.07.535

摘要

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a sinc integral evaluation, first posed in this MONTHLY in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in [1970, p. 657].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.

  • 出版日期2012-9