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Some Refinements of the Fekete and Szegő Inequality on Bounded Starlike Circular Domains in $$\mathbb {C}^n$$ C n
Computational Methods and Function Theory ( IF 2.1 ) Pub Date : 2020-11-17 , DOI: 10.1007/s40315-020-00353-6
Qinghua Xu , Weiheng Feng , Taishun Liu

In this paper, by using the formula of Faà di Bruno for the k-th derivative of a composite function, we establish a refinement of the Fekete and Szegő inequality for a class of holomorphic mappings on bounded starlike circular domains in \(\mathbb {C}^n\). The results presented here generalize some known results. Finally, a certain problem is also proposed.



中文翻译:

关于有限元中有界的星形圆形域上的Fekete和Szegő不等式的一些细化{C} ^ n $$ C n

在本文中,通过使用Faàdi Bruno公式来计算复合函数的k次导数,我们对\(\ mathbb {上的有界星形环域上的一类全纯映象建立了Fekete和Szegő不等式的细化C} ^ n \)。这里介绍的结果概括了一些已知的结果。最后,还提出了一个问题。

更新日期:2020-11-18
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