Asymptotic evaluation of the Sinc transform of entire exponential type function resulting to exact polynomial asymptotic behavior

Nathalie Liezel R. Rojas, Eric A. Galapon

We consider the asymptotic evaluation of the integral transform ${\int }_0^{\infty }f(x){\sin }^n(\hat{I}»x)/x^n\text{d}x$ of an exponential type function $f(x)$ of type $\ddot{I}„>0$, for larg…