Mathematics
(Mar 2019)
On Geometric Properties of Normalized Hyper-Bessel Functions
Khurshid Ahmad,
Saima Mustafa,
Muhey U. Din,
Shafiq ur Rehman,
Mohsan Raza,
Muhammad Arif
Affiliations
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
DOI
https://doi.org/10.3390/math7040316
Journal volume & issue
Vol. 7,
no. 4
p.
316
Abstract
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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.
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