2019/09/27 by Li, Liulan, Ponnusamy, Saminathan
#30C20 (Secondary) #30C45 #31A05 (Primary) #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1909.12602
In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmonic mappings containing slanted half-plane mappings and strip mappings and, as a consequence, we prove that the convex combination of such mappings is convex.