Coefficient bounds for certain families of bi-Bazilevič and bi-Ozaki-close-to-convex functions-Reference-Cited by-同舟云学术

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

Published:2024 Issue:4 Volume:9 Page:8134-8147
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hidan Muajebah¹,Wanas Abbas Kareem²,Khudher Faiz Chaseb³,Murugusundaramoorthy Gangadharan⁴,Abdalla Mohamed⁵

Affiliation:

1. Mathematics Department, College of Science, King Khalid University, Abha, Saudi Arabia

2. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58001, Al-Qadisiyah, Iraq

3. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Qadisiyah, Iraq

4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology(VIT), Vellore 632014, Tamil Nadu, India

5. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

<abstract><p>The aim of this work is to introduce two families, $ \mathcal{B}_{\Sigma}(\wp; \vartheta) $ and $ \mathcal{O}_{\Sigma}(\varkappa; \vartheta) $, 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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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