Convolution properties of some harmonic mappings in the right-half plane

Autor:	Kumar, Raj, Dorff, Michael, Gupta, Sushma, Singh, Sukhjit
Rok vydání:	2013
Předmět:	Mathematics - Complex Variables 30C45
Druh dokumentu:	Working Paper
Popis:	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]. Comment: The manuscript includes 14 pages and 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1304.6167 Zobrazit plný text záznamu View this record from Arxiv