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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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