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

Document Type: Original Article

Author

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

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.

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Main Subjects