Applications of $ q- $Ultraspherical polynomials to bi-univalent functions defined by $ q- $Saigo's fractional integral operators-Reference-Cited by-同舟云学术

Applications of $ q- $Ultraspherical polynomials to bi-univalent functions defined by $ q- $Saigo's fractional integral operators

Published:2024 Issue:7 Volume:9 Page:17063-17075
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Al-Hawary Tariq¹,Amourah Ala²,Alsoboh Abdullah³,Ogilat Osama⁴,Harny Irianto⁵,Darus Maslina⁶

Affiliation:

1. Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, Jordan

2. Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman

3. Department of Mathematics, Faculty of Science, Philadelphia University, 19392 Amman, Jordan

4. Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328, Jordan

5. Department General Education, Faculty of Resilience, Rabdan Academy, Abu Dhabi, United Arab Emirates

6. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Abstract

<abstract><p>This study established upper bounds for the second and third coefficients of analytical and bi-univalent functions belonging to a family of particular classes of analytic functions utilizing $ q- $Ultraspherical polynomials under $ q- $Saigo's fractional integral operator. We also discussed the Fekete-Szegö family function problem. As a result of the specialization of the parameters used in our main results, numerous novel outcomes were demonstrated.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference29 articles.

1. A. Alsoboh, A. Amourah, M. Darus, R. I. Al Sharefeen, Applications of Neutrosophic $q–$Poisson Distribution Series for subclass of Analytic Functions and bi-univalent functions, Mathematics, 11 (2023), 868. http://doi.org/10.3390/math11040868

2. A. Amourah, A. Alsoboh, O. Ogilat, G. M. Gharib, R. Saadeh, M. A. Al Soudi, Generalization of Gegenbauer Polynomials and Bi-Univalent Functions, Axioms, 12, (2023), 128. http://doi.org/10.3390/axioms12020128

3. A. Amourah, B. A. Frasin, G. Murugusundaramoorthy, T. Al-Hawary, Bi-Bazilevič functions of order $\vartheta+i\delta$ associated with $(p, q)-$Lucas polynomials, AIMS Mathematics, 6 (2021), 4296–4305. https://doi.org/10.3934/math.2021254

4. A. Amourah, T. Al-Hawary, B. A. Frasin, Application of Chebyshev polynomials to certain class of bi-Bazilevič functions of order $\vartheta +i\beta $, Afr. Mat., 32 (2021), 1–8.

5. A. Amourah, M. Alomari, F. Yousef, A. Alsoboh, Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials, Math. Probl. Eng., 2022 (2022), 6354994. http://doi.org/10.1155/2022/6354994

Cited by 1 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. Fekete-Szegö Inequality for a Subclass of Bi-Univalent Functions Linked to <i>q</i>-Ultraspherical Polynomials;Contemporary Mathematics;2024-05-23