广西师范大学学报（自然科学版） ›› 2020, Vol. 38 ›› Issue (1): 54-59.doi: 10.16088/j.issn.1001-6600.2020.01.007

• • 上一篇    下一篇

单叶调和函数的一个子类

孙祚晨, 王麒翰, 龙波涌*   

  1. 安徽大学数学科学学院,安徽合肥230601
  • 收稿日期:2018-09-26 出版日期:2020-01-25 发布日期:2020-01-15
  • 通讯作者: 龙波涌(1974—),男(侗族),湖南会同人,安徽大学副教授,博士。E-mail:longboyong@ahu.edu.cn
  • 基金资助:
    国家自然科学基金(11501001);安徽省自然科学基金(1908085MA18),安徽大学科研项目(J01006023, Y01002428)

A Subclass of Harmonic Univalent Functions

SUN Zuochen, WANG Qihan, LONG Boyong*   

  1. School of Mathematical Science, Anhui University, Hefei Anhui 230601, China
  • Received:2018-09-26 Online:2020-01-25 Published:2020-01-15

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摘要： 本文研究一类Salagean型单叶调和函数,得到了这类函数的拟共形性、凸性和卷积性, 改进了相关的结果。

关键词: 调和函数, 拟共形映射, Salagean导数, 卷积, 凸性

Abstract: A class of Salagean-type harmonic univalent functions is investigated. Quasiconformality, convexity and convolution of this class are obtained. Some related results are improved.

Key words: harmonic functions, quasiconformal mappings, Salagean derivative, convolution, convexity

中图分类号: 

  • O174.51
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