On geometric properties of certain subclasses of univalent functions defined by Noor integral operator

E. Amini, S. Al-Omari, H. Rahmatan
{"title":"On geometric properties of certain subclasses of univalent functions defined by Noor integral operator","authors":"E. Amini, S. Al-Omari, H. Rahmatan","doi":"10.1515/anly-2022-1043","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we investigate subclasses of univalent functions over | z | < 1 \\lvert z\\rvert<1 , using the characterization of starlikeness and Noor integral operator defined by convolution of analytic functions. We also give coefficient bounds for the class of 𝛼-spiral function of order 𝜌 and 𝑘-uniformly 𝛼-spirallike functions. Moreover, we provide some examples of univalent functions to illustrate our results.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"253 1","pages":"251 - 259"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2022-1043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

Abstract In this paper, we investigate subclasses of univalent functions over | z | < 1 \lvert z\rvert<1 , using the characterization of starlikeness and Noor integral operator defined by convolution of analytic functions. We also give coefficient bounds for the class of 𝛼-spiral function of order 𝜌 and 𝑘-uniformly 𝛼-spirallike functions. Moreover, we provide some examples of univalent functions to illustrate our results.
Noor积分算子定义的一元函数的若干子类的几何性质
摘要利用解析函数的卷积定义的星形刻画和Noor积分算子,研究了| z | <1 \lvert z\rvert<1上的一元函数的子类。并给出了𝛼-spiral阶函数和𝑘-uniformly𝛼-spirallike阶函数的系数界。此外,我们还提供了一些单值函数的例子来说明我们的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信