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一类新的Salagean-Type单叶调和映照的特征

潘旭玲 黄心中

华侨大学学报(自然科学版)2013,Vol.34Issue(4):466-470,5.
华侨大学学报(自然科学版)2013,Vol.34Issue(4):466-470,5.DOI:10.11830/ISSN.1000-5013.2013.04.0466

一类新的Salagean-Type单叶调和映照的特征

On the Property of a New Class of Salagean-Type Univalent Harmonic Mappings

潘旭玲 1黄心中1

作者信息

  • 1. 华侨大学数学科学学院,福建泉州362021
  • 折叠

摘要

Abstract

We study the subclass SHK (m,n,α,β) of SH(m,n,α,β) which is a new Salagean-type class with a differential operator defined by Salagean.One sufficient condition for functions in the subclass SHK (m,n,α,β) to be harmonic quasiconformal mappings and convex harmonic mappings is obtained.Meanwhile,the stability property and the δ-neighborhood of harmonic mappings for the subclass SHK (m,n,α,β) are considered.Our results improve and generalize the one made by B.Seker.

关键词

单叶调和映照/拟共形映照/凸像/稳定性/δ-邻域

Key words

univalent harmonic mapping/ quasiconformal mapping/ convex/ stability/ δ-neighborhood

分类

数理科学

引用本文复制引用

潘旭玲,黄心中..一类新的Salagean-Type单叶调和映照的特征[J].华侨大学学报(自然科学版),2013,34(4):466-470,5.

华侨大学学报(自然科学版)

OA北大核心CSTPCD

1000-5013

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