Applications of Horadam Polynomials for Bazilevič and λ-Pseudo-Starlike Bi-Univalent Functions Associated with Sakaguchi Type Functions-Reference-Cited by-同舟云学术

Applications of Horadam Polynomials for Bazilevič and λ-Pseudo-Starlike Bi-Univalent Functions Associated with Sakaguchi Type Functions

Published:2024-02-11 Issue:2 Volume:16 Page:218
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Al-Shbeil Isra¹^ORCID,Wanas Abbas Kareem²^ORCID,AlAqad Hala³,Cătaş Adriana⁴^ORCID,Alohali Hanan⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

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

3. Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates

4. Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

5. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

In this study, we introduce a new class of normalized analytic and bi-univalent functions denoted by DΣ(δ,η,λ,t,r). These functions are connected to the Bazilevič functions and the λ-pseudo-starlike functions. We employ Sakaguchi Type Functions and Horadam polynomials in our survey. We establish the Fekete-Szegö inequality for the functions in DΣ(δ,η,λ,t,r) and derive upper bounds for the initial Taylor–Maclaurin coefficients |a2| and |a3|. Additionally, we establish connections between our results and previous research papers on this topic.

Funder

King Saud University, Riyadh, Saudi Arabia

University of Oradea, Romania

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/218/pdf

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