On Geometric Properties of Normalized Hyper-Bessel Functions

Abstract

In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel functions.

Keywords

• univalent functions
• starlikeness
• convexity
• close-to-convexity
• hyper-Bessel functions
• Hardy space