A Study of Certain Geometric Properties and Hardy Spaces of the Normalized Miller-Ross Function

Muhammad Abubakr, Mohsan Raza, Abdulaziz Alenazi () and Khaled Mehrez
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Muhammad Abubakr: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Abdulaziz Alenazi: Department of Mathematics, College of Science, Northern Border University, Arar 91431, Saudi Arabia
Khaled Mehrez: Research Laboratory: Chemistry, Materials and Modeling (LR24ES02), Preparatory Institute for Engineering Studies of Kairouan, University of Kairouan, Kairouan 3100, Tunisia

Mathematics, 2025, vol. 13, issue 12, 1-16

Abstract: The main objective of this research is to investigate specific sufficiency criteria for the strongly starlikeness, strongly convexity, starlikeness, convexity and pre-starlikeness of the normalized Miller-Ross function. Furthermore, we establish sufficient conditions under which the normalized Miller-Ross function belongs to Hardy spaces and the class-bounded analytic functions. Some of the various results which are derived in this paper are presumably new and their significance is illustrated through several interesting examples.

Keywords: Miller-Ross functions; analytic functions; univalent functions; convex functions; starlike functions; strongly starlike functions; strongly convex functions; pre-starlike functions; Hardy spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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