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Loewner Chains Associated with Close to Almost Starlike Mappings of Order $$\alpha $$α
Computational Methods and Function Theory ( IF 2.1 ) Pub Date : 2019-09-25 , DOI: 10.1007/s40315-019-00289-6
Xiaofei Zhang

In this article, we give an equivalent characterization for close to almost starlike mappings of order \(\alpha \)\((0\le \alpha <1)\) in terms of Loewner chains. Next, the growth theorem and distortion theorem along a direction are obtained for this subclass of biholomorphic mappings. In particular, the results of Pfaltzgraff and Suffridge can be obtained when \(\alpha =0\).

中文翻译:

洛纳链与$$ \ alpha $$α的几乎几乎星状映射相关

在本文中,我们根据Loewner链对\(\ alpha \)\((0 \ le \ alpha <1)\)的近似星形映射进行等效描述。接下来,针对该双全纯映象的该子类,获得沿一个方向的增长定理和变形定理。特别地,当\(\ alpha = 0 \)时,可以获得Pfaltzgraff和Suffridge的结果。
更新日期:2019-09-25
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