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The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings
Authors:Qinghua Xu  Taishun Liu  Xiaosong Liu
Institution: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
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 Cn, and we obtain the sharp estimates of homogeneous expansions for this class. These results generalize many known results.
Keywords:
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