On the asymptotics and zeros of a class of Fourier integrals

Abstract

$int^ infty_ot^{v-1}frac{COS} {SIN} exp(-t^n/n)dt$ for large complex values of x and integer n > 2 by means of the asymptotic theory of the Wright function. Asymptotic approximations for both the real and complex zeros of these integrals are considered. These results are extended to p-dimensional Fourier integrals of a similar structure.