Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli

Making use of the principle of subordination, we define a certain subclass of p-valently Bazilevič and non-Bazilevič functionsassociated with the Lemniscate of Bernoulli. Also, subordination results, inclusion relationship, convolution properties, coefficients estimate and Fekete--Szegö inequalities for this subclass are derived.

Authors

Institutions

Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5869
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli

Amnah E. Shammaky, T. M. Seoudy
European Journal of Pure and Applied Mathematics
Analytic and geometric function theory
article

Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli

Amnah E. Shammaky, T. M. Seoudy
article en

Abstract

Making use of the principle of subordination, we define a certain subclass of p-valently Bazilevič and non-Bazilevič functionsassociated with the Lemniscate of Bernoulli. Also, subordination results, inclusion relationship, convolution properties, coefficients estimate and Fekete--Szegö inequalities for this subclass are derived.

European Journal of Pure and Applied MathematicsVol. 18(2)
Umm al-Qura University (SA), Jazan University (SA)
Umm Al-Qura University
Openalex Percentile: Top 86%
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.