Work

An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions

Year: 2022

Type: article

Abstract: The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions involving Gegenbauer polynomials. For functions in the constructed class, we explore estimates of Taylor–Maclaurin coefficients a2 and a3, and next, we solve the Fekete–Szegő functional problem. A number of new interesting results are presented to follow upon specializing the parameters involved in our main results.

Source: Axioms

DOI: 10.3390/axioms11060267

Authors: Feras Yousef, Ala Amourah, Basem Aref Frasin, Teodor Bulboacă

Institutions: University of Jordan, Irbid National University, Al al-Bayt University, Babeș-Bolyai University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,675

OpenAlex ID: W4281865573

FWCI: 9.936

Cites: 26

Cited by: 31

Related to: 10