# Some Remarkable Properties of Sinc and Related Integrals

Borwein, Jonathan M. and Borwein, David (2001) Some Remarkable Properties of Sinc and Related Integrals. The Ramanujan Journal, 5 (1). pp. 73-90.

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Postscript
Using Fourier transform techniques, we establish inequalities for integrals of the form $$\int_0^\infty\prod_{k=0}^n \frac{\sin(a_kx)}{a_kx}\,dx.$$ We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications.