About the radius of starlikeness of Bessel functions of the first kind

Let denote the Bessel function of the first kind. Brown (Univalence of Bessel functions, pp 278-283, 1960) determined the radius of starlikeness for two kind of normalized Bessel functions in the case . We extended these results for in Baricz et al. (The radius of starlikeness of normalized Bessel functions of the first kind, pp 2019-2025, 2014). Now we deal with the case The basic idea of the study is the same as in Baricz et al. (The radius of starlikeness of normalized Bessel functions of the first kind, pp 2019-2025, 2014) and Szasz (On starlikeness of Bessel functions of the first kind, pp 63-70, 2011), but in this case we have a different situation and a different approach is needed.