Fekete-Szegö inequalities for Φ-parametric and <i>β</i> -spirllike mappings of complex order in ℂ <sup> <i>n</i> </sup>

Abstract In this paper, we establish the sharp Fekete-Szegö inequalities of functional type over a new class of holomorphic mappings on the unit disk in a complex plane. This class includes some significant widely studied classes. Further, we develop an method to extend our result to higher dimensions. The main theorems of this paper provide a generalization of the Fekete-Szegö coefficients problems for some known classes.

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Publication Details

Journal
Mathematica Slovaca
Published
2025-12-01
DOI
https://doi.org/10.1515/ms-2025-0102
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Fekete-Szegö inequalities for Φ-parametric and β -spirllike mappings of complex order in ℂ n

Liangpeng Xiong, Tao Xie, Fang Yu
Mathematica Slovaca
Analytic and geometric function theory
article

Fekete-Szegö inequalities for Φ-parametric and β -spirllike mappings of complex order in ℂ n

Liangpeng Xiong, Tao Xie, Fang Yu
article en

Abstract

Abstract In this paper, we establish the sharp Fekete-Szegö inequalities of functional type over a new class of holomorphic mappings on the unit disk in a complex plane. This class includes some significant widely studied classes. Further, we develop an method to extend our result to higher dimensions. The main theorems of this paper provide a generalization of the Fekete-Szegö coefficients problems for some known classes.

Mathematica SlovacaVol. 75(6)
Jiangxi Science and Technology Normal University (CN)
Openalex Percentile: Top 55%
Analytic and geometric function theory
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