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Volume 13
Issue 8
10.3390/axioms13080509
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique

by
Huo Tang
1,
Prathviraj Sharma
2 and
Srikandan Sivasubramanian
2,*
1
School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
2
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India
*
Author to whom correspondence should be addressed.
Axioms 2024, 13(8), 509; https://doi.org/10.3390/axioms13080509 (registering DOI)
Submission received: 4 July 2024 / Revised: 23 July 2024 / Accepted: 25 July 2024 / Published: 28 July 2024
(This article belongs to the Special Issue Advances in Geometric Function Theory and Related Topics)
Versions Notes

Abstract

In this article, the authors use the Faber polynomial expansions to find the general coefficient estimates for a few new subclasses of bi-univalent functions with bounded boundary rotation and bounded radius rotation. Some of the results improve the existing coefficient bounds in the literature.
Keywords: univalent; Faber polynomial; bounded boundary rotation; bounded radius rotation; coefficient estimates univalent; Faber polynomial; bounded boundary rotation; bounded radius rotation; coefficient estimates

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MDPI and ACS Style

Tang, H.; Sharma, P.; Sivasubramanian, S. Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique. Axioms 2024, 13, 509. https://doi.org/10.3390/axioms13080509

AMA Style

Tang H, Sharma P, Sivasubramanian S. Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique. Axioms. 2024; 13(8):509. https://doi.org/10.3390/axioms13080509

Chicago/Turabian Style

Tang, Huo, Prathviraj Sharma, and Srikandan Sivasubramanian. 2024. "Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique" Axioms 13, no. 8: 509. https://doi.org/10.3390/axioms13080509

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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