Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

In this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced. The upper bound value for an+1, a2n+1 for functions in these classes are obtained. Moreover, the Fekete–Szegö relation for our classes of functions are established.

Authors

Institutions

Publication Details

Journal
Axioms
Published
2024-10-25
DOI
https://doi.org/10.3390/axioms13110735
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

Murat Çağlar, Luminiţa-Ioana Cotîrlă, P. Gurusamy, S. Sivasubramanian
Axioms
Analytic and geometric function theory
article

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

Murat Çağlar, Luminiţa-Ioana Cotîrlă, P. Gurusamy, S. Sivasubramanian
article en

Abstract

In this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced. The upper bound value for an+1, a2n+1 for functions in these classes are obtained. Moreover, the Fekete–Szegö relation for our classes of functions are established.

AxiomsVol. 13(11)
Technical University of Cluj-Napoca (RO), Erzurum Technical University (TR), Anna University, Chennai (IN)
Reduced inequalities
Openalex Percentile: Top 70%
Analytic and geometric function theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.