FEKETE AND SZEG INEQUALITY FOR A SUBCLASS OF STARLIKE MAPPINGS OF ORDER αON THE BOUNDED STARLIKE CIRCULAR DOMAIN IN C^n  

作　　者：刘太顺 徐庆华 

机构地区：[1]Department of Mathematics, Huzhou University, Huzhou 313000, China [2]School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

出　　处：《Acta Mathematica Scientia》2017年第3期722-731,共10页数学物理学报（B辑英文版）

基　　金：supported by NNSF of China(11471111,11561030 and 11261022);the Jiangxi Provincial Natural Science Foundation of China(20152ACB20002,20161BAB201019);Natural Science Foundation of Department of Education of Jiangxi Province,China(GJJ150301)

摘　　要：In this article, first, we establish the Fekete and Szego inequality for an interesting subclass of biholomorphic functions in the open unit disk U. Second, we generalize this result to the bounded starlike circular domain in Cn. The proofs of these results use some restrictive assumptions, which in the case of one complex variable are automatically satisfied.In this article, first, we establish the Fekete and Szego inequality for an interesting subclass of biholomorphic functions in the open unit disk U. Second, we generalize this result to the bounded starlike circular domain in Cn. The proofs of these results use some restrictive assumptions, which in the case of one complex variable are automatically satisfied.

关 键 词：Fekete-Szego problem starlike mappings of order α bounded starlike circulardomain 

分 类 号：O174.52[理学—数学]