On Geometric Properties of Normalized Hyper-Bessel Functions

Khurshid Ahmad, Saima Mustafa, Muhey U. Din, Shafiq ur Rehman, Mohsan Raza and Muhammad Arif
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Khurshid Ahmad: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Saima Mustafa: Department of Mathematics, PMAS Arid Agriculture University, Rawalpindi 46000, Pakistan
Muhey U. Din: Department of Mathematics, Islamia College Faisalabad, Faisalabad 38000, Pakistan
Shafiq ur Rehman: Department of Mathematics, COMSATS University Islamabad, Attock 43600, Pakistan
Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

Mathematics, 2019, vol. 7, issue 4, 1-11

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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