期刊论文

Chen, Shaolin

英文

FILOMAT

0354-5180

2017

31

9

2749-2762

10.2298/FIL1709749C

This research of the first author was partly supported by the National Natural Science Foundation of China (No. 11401184 and No. 11571216), the Hunan Province Natural Science Foundation of China (No. 2015JJ3025), the China’s fifty-ninth batch of post doctoral funding (No. 2016M590492), the Post Doctoral Foundation of Jiangsu Province (No. 1601182C), the Construct Program of the Key Discipline in Hunan Province and the Science and Technology Plan of Hunan Province (2016TP1020). The research of the second author was supported by the project RUS/RFBR/P-163 under Department of Science & Technology and Russian Foundation for Basic Research and this author is currently on leave from the Indian Institute of Technology Madras.

本校为通讯机构

The linear-invariant families of analytic functions make it possible to obtain well-known results to broader classes of functions, and are often helpful in obtaining simpler proofs along with new results. Based on this classical approach due to Pommerenke, properties (such as bounds for the derivative, covering and distortion) of a corresponding class of locally quasiconformal and planar harmonic mappings are established by Starkov. Motivated by these works, in this paper, we mainly investigate distortion and covering theorems on some classes of pl...