Fekete-Szegö and Second Hankel Determinant for a Class of p-Valent Functions Related to Modified Sigmoid Functions

In this paper, we study the initial coefficient bounds for a noval class of -valently analytic functions related to Sigmoid functions. Furthermore, the famous classical Fekete-Szegö inequality for this class are discussed. Conclusions: In this paper, We introduced and investigated the -univalent function for the class related to the to modified Sigmoid functions. Thus, we obtained second, third and fourth Taylor–Maclaurin coefficients of functions in this class. These results were an improvement on the estimates obtained in the recent studies.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-03-26
DOI
https://doi.org/10.52783/cana.v32.4546
Primary Topic
Analytic and geometric function theory
Type
article
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article

Fekete-Szegö and Second Hankel Determinant for a Class of p-Valent Functions Related to Modified Sigmoid Functions

Saleem Ahmed
Communications on Applied Nonlinear Analysis
Analytic and geometric function theory
article

Fekete-Szegö and Second Hankel Determinant for a Class of p-Valent Functions Related to Modified Sigmoid Functions

Saleem Ahmed
article en

Abstract

In this paper, we study the initial coefficient bounds for a noval class of -valently analytic functions related to Sigmoid functions. Furthermore, the famous classical Fekete-Szegö inequality for this class are discussed. Conclusions: In this paper, We introduced and investigated the -univalent function for the class related to the to modified Sigmoid functions. Thus, we obtained second, third and fourth Taylor–Maclaurin coefficients of functions in this class. These results were an improvement on the estimates obtained in the recent studies.

Communications on Applied Nonlinear AnalysisVol. 32(9s)
Openalex Percentile: Top 89%
Analytic and geometric function theory
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Fekete-Szegö and Second Hankel Determinant for a Class of p-Valent Functions Related to Modified Sigmoid Functions — Saleem Ahmed · Communications on Applied Nonlinear Analysis (2025) | TGRS Research Map | TGRS