## Geometric properties of generalized Bessel functions.(English)Zbl 1232.30013

The authors obtain various conditions under which generalized Bessel functions have certain geometric properties including close-to-convexity, starlikeness and convexity in the unit disk.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 33C10 Bessel and Airy functions, cylinder functions, $${}_0F_1$$ 33C20 Generalized hypergeometric series, $${}_pF_q$$
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