Geometric properties of generalized Bessel functions of complex order. (English) Zbl 1120.30005

In this paper the author uses method from the theory of differential subordinations in order to receive conditions of univalence, starlikeness and convexity for the generalized and normalized Bessel functions of the first kind of complex order.


30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30A10 Inequalities in the complex plane