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arxiv: 1804.10046 · v2 · pith:B7UHYBF3new · submitted 2018-04-26 · 🧮 math.CV

Note on the convolution of harmonic mappings

classification 🧮 math.CV
keywords convolutioncorrectformmappingsadditionciteconcerningconsidered
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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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