Close-to-convexity of normalized Dini functions
  In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag-Leffler expansions for Bessel functions of the first kind. 
\'Arpad Baricz, Erhan Deniz, Nihat Yagmur
math.CA