Second Hankel Inequality for Certain Common Subclass of Classes of Starlike and Convex Functions

In this paper we will define a new class S* Csin (r) which is subordinate to function 1+sin z, we will find the Fekete - Szegö inequality for this class along with Fekete - Szegö inequality of the functions of this class defined S* Csin (r,Θ) through Poisson distribution. Further we have solved the second Hankel determinant of this new class.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-08-15
DOI
https://doi.org/10.52783/cana.v31.1119
Primary Topic
Analytic and geometric function theory
Type
article
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article

Second Hankel Inequality for Certain Common Subclass of Classes of Starlike and Convex Functions

Gurmeet Singh
Communications on Applied Nonlinear Analysis
Analytic and geometric function theory
article

Second Hankel Inequality for Certain Common Subclass of Classes of Starlike and Convex Functions

Gurmeet Singh
article en

Abstract

In this paper we will define a new class S* Csin (r) which is subordinate to function 1+sin z, we will find the Fekete - Szegö inequality for this class along with Fekete - Szegö inequality of the functions of this class defined S* Csin (r,Θ) through Poisson distribution. Further we have solved the second Hankel determinant of this new class.

Communications on Applied Nonlinear AnalysisVol. 31(6s)
Reduced inequalities
Openalex Percentile: Top 78%
Analytic and geometric function theory
DOIOpen Access PDFOpenAlex
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Second Hankel Inequality for Certain Common Subclass of Classes of Starlike and Convex Functions — Gurmeet Singh · Communications on Applied Nonlinear Analysis (2024) | TGRS Research Map | TGRS