Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

In the present paper, we are merging two interesting and well-known classes, namely those of Bazilevič and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention...

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Bibliographic Details
Published in:Symmetry (Basel) Vol. 16; no. 7; p. 836
Main Authors: Sabir, Pishtiwan Othman, Lupas, Alina Alb, Khalil, Sipal Saeed, Mohammed, Pshtiwan Othman, Abdelwahed, Mohamed
Format: Journal Article
Language:English
Published: Basel MDPI AG 01-07-2024
Subjects:
analytic functions
Bazilevič functions
close-to-convex functions
Convex analysis
Fekete–Szegö inequalities
Operators (mathematics)
Parameter identification
starlike functions
univalent functions
Iraq
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Summary:In the present paper, we are merging two interesting and well-known classes, namely those of Bazilevič and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention to the Fekete–Szegö inequalities relevant to functions defined within the open unit disk. Additionally, we identify several specific special cases of our results by specializing the parameters.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16070836