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On the Coefficient Inequality on a Bounded Starlike Circular Domain in \(\mathbb {C}^n\)

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Abstract

Let \(\Omega \) be a bounded starlike circular domain in \(\mathbb {C}^n\). In this paper, we introduce a class of holomorphic mappings \(\mathcal {M}_g\) on \(\Omega \). Let F(z) be a normalized locally biholomorphic mapping on \(\Omega \) such that \(J_F^{-1}(z)F(z)\in \mathcal {M}_g\). We obtain the Fekete and Szegö inequality for F(z). These results unify and generalize many known results.

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  1. School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, People’s Republic of China

    Qinghua Xu

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  1. Qinghua Xu
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This work was supported by NNSF of China (Grant No. 11561030).

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Xu, Q. On the Coefficient Inequality on a Bounded Starlike Circular Domain in \(\mathbb {C}^n\). Results Math 74, 60 (2019). https://doi.org/10.1007/s00025-019-0988-9

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