New Applications of Faber Polynomial Expansion for Analytical Bi-Close-to-Convex Functions Defined by Using q-Calculus-Reference-Cited by-同舟云学术

New Applications of Faber Polynomial Expansion for Analytical Bi-Close-to-Convex Functions Defined by Using q-Calculus

Published:2023-03-01 Issue:5 Volume:11 Page:1217
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Wang Ridong¹,Singh Manoj²^ORCID,Khan Shahid³,Tang Huo¹,Khan Mohammad Faisal⁴^ORCID,Kamal Mustafa⁴

Affiliation:

1. School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China

2. Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

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

4. Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia

Abstract

In this investigation, the q-difference operator and the Sălăgean q-differential operator are utilized to establish novel subclasses of analytical bi-close-to-convex functions. We determine the general Taylor–Maclaurin coefficient of the functions in this class using the Faber polynomial method. We demonstrate the unpredictable behaviour of initial coefficients a2, a3 and investigate the Fekete–Szegő problem a3−a22 for the subclasses of bi-close-to-convex functions. To highlight the connections between existing knowledge and new research, certain known and unknown corollaries are also highlighted.

Funder

the Natural Science Foundation of the People’s Republic of China

the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region

the Natural Science Foundation of Inner Mongolia of the People’s Republic of China

the Higher School Foundation of Inner Mongolia of the People’s Republic of China

the Program for Key Laboratory Construction of Chifeng University

the Research and Innovation Team of Complex Analysis and Nonlinear Dynamic Systems of Chifeng University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1217/pdf

Reference55 articles.

1. Close-to-convex schlicht functions;Kaplan;Mich. Math. J.,1952

2. A proof of the Bieberbach conjecture;Acta Math.,1985

3. Duren, P.L. (1983). Grundlehren der Mathematischen Wissenschaften, Springer.

4. On a coefficient problem for bi-univalent functions;Lewin;Proc. Am. Math. Soc.,1967

5. Brannan, D.A., and Cluni, J. Aspects of contemporary complex analysis. Proceedings of the NATO Advanced study Institute, University of Durham, Durham, UK, 29 August–10 September 1979.

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