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A note on convexity of convolutions of harmonic mappings
- Source :
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. 52(6):1925-1935
- Publication Year :
- 2015
-
Abstract
- In this paper, we study right half-plane harmonic mappingsf 0 and f, where f 0 is xed and f is such that its dilatation of a conformalautomorphism of the unit disk. We obtain a su cient condition for theconvolution of such mappings to be convex in the direction of the realaxis. The result of the paper is a generalization of the result of by Li andPonnusamy [11], which itself originates from a problem posed by Dor etal. in [7]. 1. IntroductionLet D = fz2C : jzj
Details
- Language :
- English
- ISSN :
- 10158634
- Volume :
- 52
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Accession number :
- edsair.doi.dedup.....0d96e86d32f43a569bab11d1894cc73b