*Article* **On Geometric Properties of Normalized Hyper-Bessel Functions**

#### **Khurshid Ahmad 1, Saima Mustafa 2, Muhey U. Din 3, Shafiq ur Rehman 4, Mohsan Raza 5,\* and Muhammad Arif 1**


Received: 18 February 2019; Accepted: 21 March 2019; Published: 28 March 2019

**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

**MSC:** Primary 30C45, 33C10; Secondary 30C20, 30C75
