摘要
利用Salagean算子和从属关系,引进了伯努利双纽线左、右半有界区域内解析函数类BLn和BRn(c),研究了上述函数类的优化问题,得到了一些有趣的结果.
In this paper, we introduce the classes BLn and BRn(c) of analytic functions on the left-half and right-half bounded domains of lemniscate of Bernoulli, which are defined by using the Salagean operator and subordination relationship, and investigate majorization problems for functions belonging to these classes and obtain some interesting results.
作者
汤获
李书海
牛潇萌
张海燕
TANG Huo;LI Shu-hai;NIU Xiao-meng;ZHANG Hai-yan(School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Chin)
出处
《数学的实践与认识》
北大核心
2018年第11期263-267,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11561001,11271045)
内蒙古高校青年科技英才支持计划资助项目(NJYT-18-A14)
内蒙古自然科学基金(2010MS0117,2014MS0101,2017MS0113)
内蒙古高校科研基金(NJZY16251,NJZY17300)
赤峰市自然科学科研课题
关键词
解析函数
伯努利双纽线
SALAGEAN算子
从属关系
优化
analytic functions
lemniscate of Bernoulli
Salagean operator
subordinationrelationship
majorization