  In this note our aim is to determine the radius of starlikeness of the
normalized Bessel functions of the first kind for three different kinds of
normalization. The key tool in the proof of our main result is the
Mittag-Leffler expansion for Bessel functions of the first kind and the fact
that, according to Ismail and Muldoon [IM2], the smallest positive zeros of
some Dini functions are less than the first positive zero of the Bessel
function of the first kind.
