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| On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables* |
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Citation： |
Xiaosong LIU,Taishun LIU.On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables*[J].Chinese Annals of Mathematics B,2021,42(6):909~920 |
| Page view： 450
Net amount： 397 |
Authors： |
Xiaosong LIU; Taishun LIU |
Foundation： |
National Natural Science Foundation of China (Nos. 11871257,11971165, 12071130). |
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| Abstract： |
The refined estimates of all homogeneous expansions for a subclass of biholomorphic starlike mappings are mainly established on the unit ball in complex Banach spaces or the unit polydisk in Cn with a unified method. Especially the results are sharp if the above mappings are further k-fold symmetric starlike mappings or k-fold symmetric starlike mappings of order α. The obtained results unify and generalize the corresponding results in some prior literatures. |
Keywords： |
Refined estimates of all homogeneous expansions, Starlike mapping, Starlike mapping of order α, k-fold symmetric, Unified method |
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