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arXiv · 1804.10046

Note on the convolution of harmonic mappings

Liulan Li·Saminathan Ponnusamy
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Abstract

Dorff et al. \cite{DN} formulated a question concerning the convolution of two right half-plane mappings, where the normalization of the functions was considered incorrectly. In this paper, we have reformulated the open problem in correct form and provided a solution to it in a more general form. In addition, we also obtain two new theorems which correct and improve some other results.

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Liulan Li, Saminathan Ponnusamy. 2018-11-03. Note on the convolution of harmonic mappings. https://doi.org/10.1017/s0004972719000029

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