2013/04/23 by Kumar, Raj, Dorff, Michael, Gupta, Sushma +1
#30C45 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1304.6167
Dorff, proved in [2] that the convolution of two harmonic right-half plane mappings is convex in the direction of real axis provided that the convolution is locally univalent and sense preserving. Later, it was shown in [3] that the condition of locally univalent and sense preserving can be dropped in some special cases. In this paper, we generalize the main result from [3].