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Mathematics 2019, 7(4), 316;

On Geometric Properties of Normalized Hyper-Bessel Functions

Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Department of Mathematics, PMAS Arid Agriculture University, Rawalpindi 46000, Pakistan
Department of Mathematics, Islamia College Faisalabad, Faisalabad 38000, Pakistan
Department of Mathematics, COMSATS University Islamabad, Attock 43600, Pakistan
Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Author to whom correspondence should be addressed.
Received: 18 February 2019 / Revised: 20 March 2019 / Accepted: 21 March 2019 / Published: 28 March 2019
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2019)
PDF [254 KB, uploaded 28 March 2019]


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. View Full-Text
Keywords: univalent functions; starlikeness; convexity; close-to-convexity; hyper-Bessel functions; Hardy space univalent functions; starlikeness; convexity; close-to-convexity; hyper-Bessel functions; Hardy space
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Ahmad, K.; Mustafa, S.; Din, M.U.; ur Rehman, S.; Raza, M.; Arif, M. On Geometric Properties of Normalized Hyper-Bessel Functions. Mathematics 2019, 7, 316.

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