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.


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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