广义Srivastava-Attiya算子的保留从属和上从属结果

M. Aouf, A. Mostafa, A. M. Shahin, S. Madian
{"title":"广义Srivastava-Attiya算子的保留从属和上从属结果","authors":"M. Aouf, A. Mostafa, A. M. Shahin, S. Madian","doi":"10.7862/RF.2013.2","DOIUrl":null,"url":null,"abstract":"and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination:","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Preserving subordination and superordination results of generalized Srivastava-Attiya operator\",\"authors\":\"M. Aouf, A. Mostafa, A. M. Shahin, S. Madian\",\"doi\":\"10.7862/RF.2013.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination:\",\"PeriodicalId\":345762,\"journal\":{\"name\":\"Journal of Mathematics and Applications\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7862/RF.2013.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2013.2","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

令A (1) = A,对于f, f∈H(U),若U中存在一个解析函数ω(z),且ω(0) = 0且|ω(z)| < 1(z∈U),则称函数f(z)隶属于f(z),或f(z)优于f(z),使得f(z) = f(ω(z))。在这种情况下,我们写成f(z) f(z)。如果f是一元的,则f(z) f(z)当且仅当f(0) = f(0)和f(U) f(U)(见[14]和[15])。设φ: C×U→C和h (z)在U中是一元的,若p (z)在U中是解析的,且满足一阶微分隶属:
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Preserving subordination and superordination results of generalized Srivastava-Attiya operator
and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination:
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
0
期刊最新文献
Finite Blaschke Products and Decomposition Spaces of entire functions represented by vector valued Dirichlet series Instability to nonlinear vector differential equations of fourth order with constant delay A Companion of the generalized trapezoid inequality and applications Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1