Faber Polynomial Coefficient Estimates for Bi-Close-to-Convex Functions Defined by the q-Fractional Derivative-Reference-Cited by-同舟云学术

Faber Polynomial Coefficient Estimates for Bi-Close-to-Convex Functions Defined by the q-Fractional Derivative

Published:2023-06-13 Issue:6 Volume:12 Page:585
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Srivastava Hari Mohan¹²³⁴⁵^ORCID,Al-Shbeil Isra⁶^ORCID,Xin Qin⁷^ORCID,Tchier Fairouz⁸^ORCID,Khan Shahid⁹^ORCID,Malik Sarfraz Nawaz¹⁰^ORCID

Affiliation:

1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

4. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan

5. Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy

6. Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

7. Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark

8. Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

9. Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, Pakistan

10. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

Abstract

By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass of A, where the class A contains normalized analytic functions in the open unit disk E and is invariant or symmetric under rotation. First, using the Faber polynomial expansion (FPE) technique, we determine the lth coefficient bound for the functions contained within this class. We provide a further explanation for the first few coefficients of bi-close-to-convex functions defined by the q-fractional derivative. We also emphasize upon a few well-known outcomes of the major findings in this article.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/6/585/pdf

Reference62 articles.

1. Functions which map the interior of the unit circle upon simple regions;Alexander;Ann. Math.,1915

2. Alb Lupaş, A., and Oros, G.I. (2021). Differential subordination and superordination results using fractional integral of confluent hypergeometric function. Symmetry, 13.

3. Study on new integral operators defined using confluent hypergeometric function;Oros;Adv. Differ. Equ.,2021

4. Khan, Ş.S., Xin, Q., Tchier, F., Malik, S.N., and Khan, N. (2023). Faber Polynomial coefficient estimates for Janowski type bi-close-to-convex and bi-quasi-convex functions. Symmetry, 15.

5. Operators of basic (or q-) calculus and fractional q-Calculus and their applications;Srivastava;Iran. J. Sci. Technol. Trans. A Sci.,2020

Cited by 9 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. Bernoulli polynomials for a new subclass of Te-univalent functions;Heliyon;2024-07

2. Exploring a distinct group of analytical functions linked with Bernoulli's Lemniscate using the q-derivative;Heliyon;2024-07

3. New Developments in Geometric Function Theory II;Axioms;2024-03-28

4. Estimating the Second Order Hankel Determinant for the Subclass of Bi-Close-to-Convex Function of Complex Order;Malaysian Journal of Mathematical Sciences;2024-03-27

5. Bi-Concave Functions Connected with the Combination of the Binomial Series and the Confluent Hypergeometric Function;Symmetry;2024-02-13