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Abstract
The convolution of two univalent harmonic mappings of the unit disc onto convex domains is not necessarily univalent. Dorff, Nowak and Wołoszkiewicz formulated an open problem concerning the convolution of two right half-plane mappings when one of them is fixed. In this article we solve this open problem.
Acknowledgements
The first author was supported by NSF of Hunan (No. 10JJ4005), Hunan Provincial Education Department (No. 11B019) and the Construct Program of the Key Discipline in Hunan province.