GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ

doi:10.1016/S0252-9602(18)30782-3

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 769-777.doi: 10.1016/S0252-9602(18)30782-3

GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ

张晓飞¹, 卢金², 李晓非¹

1. School of Mathematics and Statistics, Pingdingshan University, Pingdingshan 467000, China;
2. Department of Mathematics, Huzhou University, Zhejiang 313000, China

收稿日期:2016-12-14 修回日期:2017-08-22 出版日期:2018-06-25 发布日期:2018-06-25
通讯作者: Jin LU E-mail:luking@zjhu.edu.cn
作者简介:Xiaofei ZHANG,E-mail:zhxfei@mail.ustc.edu.cn;Xiaofei LI,E-mail:lixiaofeide9999@163.com
基金资助:
Supported by the National Natural Science Foundation of China (11501198, 11701307), the Key Scientific Research Projects in Universities of Henan Province (16B110010), the Zhejiang Natural Science Foundation of China (LY16A010012), the Doctoral Foundation of Pingdingshan University (PXY-BSQD-2015005), and the Foster Foundation of Pingdingshan University (PXYPYJJ2016007).

GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ

Xiaofei ZHANG¹, Jin LU², Xiaofei LI¹

1. School of Mathematics and Statistics, Pingdingshan University, Pingdingshan 467000, China;
2. Department of Mathematics, Huzhou University, Zhejiang 313000, China

Received:2016-12-14 Revised:2017-08-22 Online:2018-06-25 Published:2018-06-25
Contact: Jin LU E-mail:luking@zjhu.edu.cn
Supported by:
Supported by the National Natural Science Foundation of China (11501198, 11701307), the Key Scientific Research Projects in Universities of Henan Province (16B110010), the Zhejiang Natural Science Foundation of China (LY16A010012), the Doctoral Foundation of Pingdingshan University (PXY-BSQD-2015005), and the Foster Foundation of Pingdingshan University (PXYPYJJ2016007).

摘要/Abstract

摘要：

In this article, the sharp growth theorem for almost starlike mappings of complex order λ is given firstly. Secondly, distortion theorem along a unit direction is also established as the application of the growth theorem. In particular, using our results can reduce to some well-known results.

关键词: Distortion theorem, convex mapping, Schwarz lemma at the boundary

Abstract:

Key words: Distortion theorem, convex mapping, Schwarz lemma at the boundary

张晓飞, 卢金, 李晓非. GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ[J]. 数学物理学报(英文版), 2018, 38(3): 769-777.

Xiaofei ZHANG, Jin LU, Xiaofei LI. GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ[J]. Acta mathematica scientia,Series B, 2018, 38(3): 769-777.

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GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ

GROWTH AND DISTORTION THEOREMS FOR ALMOST STARLIKE MAPPINGS OF COMPLEX ORDER λ

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