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arXiv · 1511.06949

Sharp inequalities of homogeneous expansions for quasi-convex mappings of type B and almost starlike mappings of order alpha

Ming-Sheng Liu·Fen Wu·Yan Yang
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Abstract

In this paper, we first obtain several sharp inequalities of homogeneous expansion for both the subclass of all normalized biholomorphic quasi-convex mappings of type B and order alpha and the subclass of all normalized biholomorphic almost starlike mappings of order alpha defined on the unit ball $B$ of a complex Banach space X. Then, with these sharp inequalities, we derive the sharp estimates of the third and fourth homogeneous expansions for the above mappings defined on the unit polydisk $D^n$ in C(n).

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Ming-Sheng Liu, Fen Wu, Yan Yang. 2015-11-22. Sharp inequalities of homogeneous expansions for quasi-convex mappings of type B and almost starlike mappings of order alpha. https://arxiv.org/abs/1511.06949

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