Faber Polynomial Coefficient Estimates of m -Fold Symmetric Bi-Univalent Functions with Bounded Boundary Rotation

Anandan Murugan, Srikandan Sivasubramanian (), Prathviraj Sharma and Gangadharan Murugusundaramoorthy
Additional contact information
Anandan Murugan: Department of Mathematics, College of Engineering Guindy, Anna University, Chennai 600025, Tamilnadu, India
Srikandan Sivasubramanian: Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Prathviraj Sharma: Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Gangadharan Murugusundaramoorthy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, India

Mathematics, 2024, vol. 12, issue 24, 1-17

Abstract: In the current article, we introduce several new subclasses of m -fold symmetric analytic and bi-univalent functions associated with bounded boundary and bounded radius rotation within the open unit disk D . Utilizing the Faber polynomial expansion, we derive upper bounds for the coefficients | b m k + 1 | and establish initial coefficient bounds for | b m + 1 | and | b 2 m + 1 | . Additionally, we explore the Fekete–Szegö inequalities applicable to the functions that fall within these newly defined subclasses.

Keywords: univalent; m -fold symmetric; bounded radius rotation; coefficient estimates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/24/3963/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/24/3963/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:24:p:3963-:d:1545571

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().