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

Baricz, Árpád

Mathematica 48(71), No. 1, 13-18 (2006).

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.

Reviewer: Nikola Tuneski (Skopje)

MSC:

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

Keywords:

differential subordination; convex functions; univalent functions; starlike functions; Bessel functions