关于由从属算子和\(q\)-导数算子定义的一类广义双单价函数

Xiaojing Chen, W. Chu
{"title":"关于由从属算子和\\(q\\)-导数算子定义的一类广义双单价函数","authors":"Xiaojing Chen, W. Chu","doi":"10.30538/psrp-oma2022.0100","DOIUrl":null,"url":null,"abstract":"In this paper, the \\(q\\)-derivative operator and the principle of subordination were employed to define a subclass \\(\\mathcal{B}_q(\\tau,\\lambda,\\phi)\\) of analytic and bi-univalent functions in the open unit disk \\(\\mathcal{U}\\). For functions \\(f(z)\\in\\mathcal{B}_q(\\tau,\\lambda,\\phi)\\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a generalized class of bi-univalent functions defined by subordination and \\\\(q\\\\)-derivative operator\",\"authors\":\"Xiaojing Chen, W. Chu\",\"doi\":\"10.30538/psrp-oma2022.0100\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the \\\\(q\\\\)-derivative operator and the principle of subordination were employed to define a subclass \\\\(\\\\mathcal{B}_q(\\\\tau,\\\\lambda,\\\\phi)\\\\) of analytic and bi-univalent functions in the open unit disk \\\\(\\\\mathcal{U}\\\\). For functions \\\\(f(z)\\\\in\\\\mathcal{B}_q(\\\\tau,\\\\lambda,\\\\phi)\\\\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.\",\"PeriodicalId\":52741,\"journal\":{\"name\":\"Open Journal of Mathematical Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30538/psrp-oma2022.0100\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/psrp-oma2022.0100","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文利用\(q\) -导数算子和从属原理,定义了开单位盘\(\mathcal{U}\)上解析函数和双单价函数的一个子类\(\mathcal{B}_q(\tau,\lambda,\phi)\)。对于函数\(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\),我们得到了实参数和复参数的早期系数界和一些Fekete-Szegö估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On a generalized class of bi-univalent functions defined by subordination and \(q\)-derivative operator
In this paper, the \(q\)-derivative operator and the principle of subordination were employed to define a subclass \(\mathcal{B}_q(\tau,\lambda,\phi)\) of analytic and bi-univalent functions in the open unit disk \(\mathcal{U}\). For functions \(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
10
审稿时长
8 weeks
×
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:481959085
Book学术官方微信