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

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 Mille...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 13; no. 12; p. 1919
Main Authors: Abubakr, Muhammad, Raza, Mohsan, Alenazi, Abdulaziz, Mehrez, Khaled
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.06.2025
Subjects:
Analytic functions
Convex analysis
convex functions
Convexity
Functional equations
Functions
Geometry
Inequality
Mathematical analysis
Mathematical functions
Miller-Ross functions
starlike functions
strongly starlike functions
univalent functions
Pakistan
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary: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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math13121919