ON FEKETE-SZEGÖ INEQUALITY FOR A CLASS OF ANALYTIC FUNCTIONS SATISFYING SUBORDINATE CONDITION ASSOCIATED WITH GEGENBAUER POLYNOMIALS

We define a class of analytic functions, , satisfying the following condition: where and . Besides estimating the coefficients and of a function in this class, we examine the Fekete-Szegö inequality for such a function.

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Publication Details

Journal
Far East Journal of Mathematical Sciences (FJMS)
Published
2025-10-07
DOI
https://doi.org/10.17654/0972087125038
Primary Topic
Analytic and geometric function theory
Type
article
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article

ON FEKETE-SZEGÖ INEQUALITY FOR A CLASS OF ANALYTIC FUNCTIONS SATISFYING SUBORDINATE CONDITION ASSOCIATED WITH GEGENBAUER POLYNOMIALS

Muhammet Kamali̇, Kalyskan Matanova, Peyil ESENGUL KIZI, Kılıçbek MARKAEV
Far East Journal of Mathematical Sciences (FJMS)
Analytic and geometric function theory
article

ON FEKETE-SZEGÖ INEQUALITY FOR A CLASS OF ANALYTIC FUNCTIONS SATISFYING SUBORDINATE CONDITION ASSOCIATED WITH GEGENBAUER POLYNOMIALS

Muhammet Kamali̇, Kalyskan Matanova, Peyil ESENGUL KIZI, Kılıçbek MARKAEV
article en

Abstract

We define a class of analytic functions, , satisfying the following condition: where and . Besides estimating the coefficients and of a function in this class, we examine the Fekete-Szegö inequality for such a function.

Far East Journal of Mathematical Sciences (FJMS)Vol. 142(4)
Openalex Percentile: Top 66%
Analytic and geometric function theory
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ON FEKETE-SZEGÖ INEQUALITY FOR A CLASS OF ANALYTIC FUNCTIONS SATISFYING SUBORDINATE CONDITION ASSOCIATED WITH GEGENBAUER POLYNOMIALS — Muhammet Kamali̇, Kalyskan Matanova, et al. · Far East Journal of Mathematical Sciences (FJMS) (2025) | TGRS Research Map | TGRS