On a family of bi-univalent functions related to the Fibonacci numbers

Author:

Akgül Arzu

Abstract

In this study, we construct a new family of holomorphic biunivalent functions in the open unit disc by the help of q-analogue of Noor integral operator, principle of subordination and Fibonacci polynomials. Also we obtain coefficient bounds and Fekete Szegö inequality for functions belonging this family. We have illustrated relevant families and consequences.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

General Medicine

Reference27 articles.

1. O. P. Ahuja, A. Çetinkaya, N. Bohra, On a class of q-bi-univalent functions of complex order related to shell-like curves connected with the Fibonacci numbers, Honam Mathematical Journal, 42 (2) (2020), 319-330.;

2. A. Akgül, (p, q)-Lucas polynomial coefficient inequalities of the bi-univalent function class, Turkish Journal of Mathematics, 43 (5) (2019), 2170-2176.;

3. A. Akgül, F. M. Sakar, A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials, Turkish Journal of Mathematics, 43 (5) (2019), 2275-2286.;

4. A. G. Alamoush, Coefficient Estimates for Certain Subclass of Bi Functions Associated the Horadam Polynomials, 2018, arXiv preprint, arXiv:1812.10589, 7 pages.;

5. D. A. Brannan, T. S. Taha, On some classes of bi-univalent functions, Studia Universitatis Babeş-Bolyai Mathematica, 31 (1986), 70-77.;

Cited by 4 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. Spectrum Transformation in the System of Discrete Fibonacci Functions;2024 6th International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE);2024-02-29

2. Initial Coefficient Estimates of Bi-Univalent Functions Linked with Balancing Coefficients;WSEAS TRANSACTIONS ON MATHEMATICS;2023-10-23

3. (U; V )-Lucas polynomial coefficient relations of the bi-univalent function class;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2022-12-30

4. A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator;Afrika Matematika;2022-08-06

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3