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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Vydáno v:Mathematics (Basel) Ročník 13; číslo 12; s. 1919
Hlavní autoři: Abubakr, Muhammad, Raza, Mohsan, Alenazi, Abdulaziz, Mehrez, Khaled
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.06.2025
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:2227-7390
2227-7390
DOI:10.3390/math13121919