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

Mondal, Saiful R.; Swaminathan, A.

Bull. Malays. Math. Sci. Soc. (2) 35, No. 1, 179-194 (2012).

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.

Reviewer: Dorina Raducanu (Brasov)

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, \({}_pF_q\)

Keywords:

convex functions; univalent functions; starlike functions; Bessel functions; hypergeometric functions