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Fekete and Szegö Inequalities for a Class of Holomorphic Map**s

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Abstract

In this paper, making use of the coefficient inequality for subordinate functions on the unit disc \(\mathbb {U}\) in \(\mathbb {C}\), we establish some refinements of the Fekete and Szegö inequalities for a class of holomorphic map**s related to spirallike map**s on bounded starlike circular domains in \(\mathbb {C}^n\). The results presented here would generalize some known results.

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Acknowledgements

This work was supported by NNSF of China (Grant No. 11971165) and Natural Science Foundation of Zhejiang Province (Grant No. LY21A010003).

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Correspondence to Qinghua Xu.

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Communicated by Jerry R. Muir.

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Xu, Q. Fekete and Szegö Inequalities for a Class of Holomorphic Map**s. Bull. Malays. Math. Sci. Soc. 47, 83 (2024). https://doi.org/10.1007/s40840-024-01677-5

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  • DOI: https://doi.org/10.1007/s40840-024-01677-5

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