The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings |
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Authors: | Qinghua Xu Taishun Liu Xiaosong Liu |
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Affiliation: | 1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People?s Republic of China;2. Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, People?s Republic of China;3. School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, People?s Republic of China |
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Abstract: | In this paper, the class of strongly close-to-quasi-convex mappings of type α and order β is introduced in the unit ball of complex Banach space or unit polydisk in , and we obtain the sharp estimates of homogeneous expansions for this class. These results generalize many known results. |
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