期刊论文

Ponnusamy, Saminathan

英文

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

0004-9727

2019

99

3

421-431

10.1017/S0004972719000029

The work of the first author is supported by NSF of China (No. 11571216), 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) and the Science and Technology Plan Project of Hengyang City (2017KJ183). The work of the second author is supported by the Mathematical Research Impact Centric Support of the Department of Science and Technology, India (MTR/2017/000367). The authors thank the referee for valuable comments.

本校为第一机构

Dorff et al. \cite{DN} formulated an open problem concerning the convolution of two right half-plane mappings, where the normalization of the harmonic mappings has been considered incorrectly. Without realizing the error, the present authors considered the open problem (see \cite[Theorem 2.2]{LiPo1} and \cite[Theorem 1.3]{LiPo2}). In this paper, we have reformulated the open problem in correct form and provided solution to it in a more general form. In addition, we also obtain t...