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两类解析函数的优化性质 被引量:2

Majorization properties of two classes of analytic functions
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摘要 引进了由Salagean算子定义且与伯努利双纽线和指数函数有关的解析函数类Mn和Nn,讨论了上述函数类的优化性质,所得结果扩充了单复变几何函数论的优化理论. In this paper,we introduce Mn and Nn analytic functions associated with lemniscate of Bernoulli and exponential function,as defined by Salagean operator,and discuss majorization properties of functions.Our results generalize the theory of majorization in geometric function theory of one complex variable.
作者 汤获 邓冠铁 TANG Huo;DENG Guantie(School of Mathematics and Statistics,Chifeng University,024000,Chifeng,Inner Mongolia,China;School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China)
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2019年第4期425-428,共4页 Journal of Beijing Normal University(Natural Science)
基金 国家自然科学基金资助项目(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资助项目(2010MS0117,2014MS0101,2017MS0113,2018MS01026) 内蒙古高等学校科研基金资助项目(NJZY15240,NJZY16251,NJZY17300) 赤峰市自然科学基金资助项目
关键词 解析函数 伯努利双纽线 指数函数 SALAGEAN算子 优化 analytic functions lemniscate of Bernoulli exponential function Salagean operator majorization
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