Work

Applications of (M,N)-Lucas Polynomials for a Certain Family of Bi-Univalent Functions Associating λ-Pseudo-Starlike Functions with Sakaguchi Type Functions

Year: 2024

Type: article

Abstract: In this article, we use the (M,N)-Lucas Polynomials to determinate upper bounds for the Taylor-Maclaurin coefficients $\left|a_{2}\right|$ and $\left| a_{3}\right|$ for functions belongs to a certain family of holomorphic and bi-univalent functions associating $\lambda$-pseudo-starlike functions with Sakaguchi type functions defined in the open unit disk $\mathbb{D}$. Also, we discuss Fekete-Szeg\"{o} problem for functions belongs to this family.

Source: Earthline Journal of Mathematical Sciences

DOI: 10.34198/ejms.15125.001010

Authors: Abbas Kareem Wanas, Elham Kareem Wanas, Adriana Cătaş, Mohamed Abdalla

Institutions: University of Al-Qadisiyah, University of Oradea, King Khalid University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403785177

FWCI: 0.7

Cites: 28

Cited by: 1

Related to: 10