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Coefficient bounds for certain families of bi-Bazilevič and bi-Ozaki-close-to-convex functions.

Authors :
Hidan, Muajebah
Wanas, Abbas Kareem
Khudher, Faiz Chaseb
Murugusundaramoorthy, Gangadharan
Abdalla, Mohamed
Source :
AIMS Mathematics; 2024, Vol. 9 Issue 4, p8134-8147, 14p
Publication Year :
2024

Abstract

The aim of this work is to introduce two families, B<subscript>Σ</subscript>(P;ϑ) and O<subscript>Σ</subscript>(X;ϑ), of holomorphic and bi-univalent functions involving the Bazilevič functions and the Ozaki-close-to-convex functions, by using generalized telephone numbers. We determinate upper bounds on the Fekete-Szegö type inequalities and the initial Taylor-Maclaurin coefficients for functions in these families. We also highlight certain edge cases and implications for our findings. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
4
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
176160585
Full Text :
https://doi.org/10.3934/math.2024395