期刊论文

Ponnusamy, Saminathan

英文

BULLETIN DES SCIENCES MATHEMATIQUES

0007-4497

2019

152

150-168

10.1016/j.bulsci.2019.01.009

The work was completed during the visit of the first author to the Indian Statistical Institute (ISI), Chennai Centre and this author thanks the institute for the support and the hospitality. The research of the first author was supported by Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469 ), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ), the Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (No. IIPA18K06 ) and the Hengyang City Science and Technology Project (No. 2018KJ125 ). The work of the second author is supported by Mathematical Research Impact Centric Support (MATRICS) of the Department of Science and Technology (DST), India ( MTR/2017/000367 ). The authors thank the referee for his/her comments.

本校为第一机构

The primary aim of this article is to extend the study on the pre-Schwarzian derivatives from the case of univalent analytic functions to that of univalent harmonic mappings defined on certain domains. This is done in two different ways. One of the ways is to connect with a conjecture on the univalent harmonic mappings. Also, we improve certain known results on the majorization of the Jacobian of functions in the affine and linear invariant family of sense-preserving harmonic mappings. This is achieved as an application of a corresponding distorti...