An application of the generalized Bessel function. (English) Zbl 1424.30037

Darwish, Hanan; Lashin, Abdel Moneim; Hassan, Bashar

Math. Bohem. 142, No. 1, 75-84 (2017).

Summary: We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.

MSC:

30C45

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

Bessel operator; starlike function; convex function; close-to-convex function