On Starlikeness, Convexity, and Close-to-Convexity of Hyper-Bessel Function

Document Type : Original Article

Author

İbrahim Aktaş

Department of Mathematics, Kamil Özdağ Science Faculty, Karamanoğlu Mehmetbey Uninersity, Karaman, Turkey.

10.22034/kjm.2019.88427

Abstract

In the present investigation, our main aim is to derive some conditions on starlikeness, convexity, and close-to-convexity of  normalized hyper-Bessel functions. Also we give some similar results for classical Bessel functions by using the relationships between hyper-Bessel and Bessel functions. As a result of the obtained conditions, some examples are also given.

Keywords

Analytic function

hyper-Bessel function

Starlike

convex and close-to-convex functions

Subjects

• 30 Functions of a complex variable
• 33 Special functions

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