This work presents Fekete-Szegö inequalities for holomorphic mappings in the unit disk, indicating generalization in higher dimensions.
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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Xiong et al. (2025) studied this question.
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