一类解析函数的广义λ-Hadamard卷积

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英文篇名：Generalized λ-Hadamard Product for a Class of Analytic Functions 作者：何涛 ; 李书海 ; 马丽娜 ; 敖恩 ; 汤获 英文作者：HE Tao;LI Shu-hai;MA Li-na;AO En;TANG Huo;School of Mathematics and Statistics, Chifeng University; 关键词：解析函数 ; 单叶函数 ; 从属 ; λ-Hadamard卷积 ; 广义λ-Hadamard卷积 英文关键词：analytic functions;;univalent functions;;subordination;;λ-Hadamard product;;generalized λ-Hadamard product 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：赤峰学院数学与统计学院; 出版日期：2019-04-23 出版单位：数学的实践与认识 年：2019 期：v.49 基金：国家自然科学基金(11561001);; 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(2018MS01026);; 内蒙古高校科学研究项目(NJZY15240,NJZY18217) 语种：中文; 页：SSJS201908025 页数：7 CN：08 ISSN：11-2018/O1 分类号：213-219

摘要

首先引进一类具有负系数的广义星象函数子类及其广义λ-Hadamard卷积;其次,利用从属关系证明了属于该类函数的充要条件;最后,研究了在函数类上广义λ-Hadamard卷积及其相关特殊卷积的封闭性质.所得结果改进和推广了Choi等人的主要结果,并得到了一些新结果.
        In this paper, we first introduce a class of generalized starlike functions with negative coefficients. Secondly, we use the methods of subordination relationship to prove the necessary and sufficient conditions belonging to the above class. Finally, we introduce and investigate closure properties of generalized A-Hadamard product and its related special product. The results obtained extend the main results of Choi et al. in [3] and also get some new results.

引文

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