Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials-Reference-Cited by-同舟云学术

Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials

Published:2022-05-29 Issue: Volume:2022 Page:1-6
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Amourah Ala¹^ORCID,Alomari Mohammad¹^ORCID,Yousef Feras²^ORCID,Alsoboh Abdullah³^ORCID

Affiliation:

1. Department of Mathematics, Irbid National University, Irbid, Jordan

2. Department of Mathematics, School of Science, University of Jordan, Amman 11942, Jordan

3. Umm-Alqura University, P.O Box 715, Mecca, Saudi Arabia

Abstract

In this work, we introduce and investigate a new subclass of analytic bi-univalent functions based on subordination conditions between the zero-truncated Poisson distribution and Gegenbauer polynomials. More precisely, we will estimate the first two initial Taylor–Maclaurin coefficients and solve the Fekete–Szegö functional problem for functions belonging to this new subclass.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/6354994.pdf

Reference33 articles.

1. Differential Subordinations

2. New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems

3. Coefficient Bounds for Certain Subclasses of Bi-Univalent Function

4. Coefficient Estimate of Biunivalent Functions of Complex Order Associated with the Hohlov Operator

5. Certain subclasses of analytic and bi-univalent functions

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions;International Journal of Mathematical, Engineering and Management Sciences;2024-10-01

2. Euler Polynomials and Bi-univalent Functions;European Journal of Pure and Applied Mathematics;2024-07-31

3. Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series;SAHAND COMMUN MATH A;2024

4. Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions;Heliyon;2024-07

5. Applications of $ q- $Ultraspherical polynomials to bi-univalent functions defined by $ q- $Saigo's fractional integral operators;AIMS Mathematics;2024