On the asymptotic behaviour of the Fourier transform of the Mittag-Leffler function

Ahmed A. Abdelhakim

Let $\alpha \in (0,2)$ and let $\beta >0$. Fix $-\pi <\phi \le \pi$ such that $|\phi |>\alpha \pi /2$. We obtain asymptotic upper bounds on the Fourier transform of the radially symmetric tempered distribution \b…