应用 Sălăgean q 微分算子的双等价函数子类的 Fekete-Szegö 不等式

IF 0.8 Q3 MULTIDISCIPLINARY SCIENCES

Malaysian Journal of Fundamental and Applied Sciences Pub Date : 2023-12-04 DOI:10.11113/mjfas.v19n6.3039

Dayana Chang, A. Janteng

{"title":"应用 Sălăgean q 微分算子的双等价函数子类的 Fekete-Szegö 不等式","authors":"Dayana Chang, A. Janteng","doi":"10.11113/mjfas.v19n6.3039","DOIUrl":null,"url":null,"abstract":"Throughout this study, we propose a new subclass of bi-univalent functions by applying Sălăgean q-differential operator and denoted as LΣ_q^k (λ,ϕ). Further, we acquired the values of the initial coefficients |a_2 | and |a_3 | for functions f∈LΣ_q^k (λ,ϕ) which yield to this study’s preliminary result. Subsequently, the preliminary result was applied to obtain the upper bound of Fekete-Szegö inequality, |a_3-ρa_2^2 |, for functions f∈LΣ_q^k (λ,ϕ).","PeriodicalId":18149,"journal":{"name":"Malaysian Journal of Fundamental and Applied Sciences","volume":"78 4","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fekete-Szegö Inequality for a Subclass of Bi-univalent Functions by Applying Sălăgean q-Differential Operator\",\"authors\":\"Dayana Chang, A. Janteng\",\"doi\":\"10.11113/mjfas.v19n6.3039\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Throughout this study, we propose a new subclass of bi-univalent functions by applying Sălăgean q-differential operator and denoted as LΣ_q^k (λ,ϕ). Further, we acquired the values of the initial coefficients |a_2 | and |a_3 | for functions f∈LΣ_q^k (λ,ϕ) which yield to this study’s preliminary result. Subsequently, the preliminary result was applied to obtain the upper bound of Fekete-Szegö inequality, |a_3-ρa_2^2 |, for functions f∈LΣ_q^k (λ,ϕ).\",\"PeriodicalId\":18149,\"journal\":{\"name\":\"Malaysian Journal of Fundamental and Applied Sciences\",\"volume\":\"78 4\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Malaysian Journal of Fundamental and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11113/mjfas.v19n6.3039\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Malaysian Journal of Fundamental and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11113/mjfas.v19n6.3039","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

摘要

在整个研究中，我们提出了一个新的双单价函数子类，通过应用s13l13gean q-微分算子，表示为LΣ_q^k (λ，ϕ)。此外，我们获得了函数f∈LΣ_q^k (λ，ϕ)的初始系数|a_2 |和|a_3 |的值，从而产生了本研究的初步结果。随后，将初步结果应用于函数f∈LΣ_q^k (λ，ϕ)的Fekete-Szegö不等式|a_3-ρa_2^2 |的上界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Fekete-Szegö Inequality for a Subclass of Bi-univalent Functions by Applying Sălăgean q-Differential Operator

Throughout this study, we propose a new subclass of bi-univalent functions by applying Sălăgean q-differential operator and denoted as LΣ_q^k (λ,ϕ). Further, we acquired the values of the initial coefficients |a_2 | and |a_3 | for functions f∈LΣ_q^k (λ,ϕ) which yield to this study’s preliminary result. Subsequently, the preliminary result was applied to obtain the upper bound of Fekete-Szegö inequality, |a_3-ρa_2^2 |, for functions f∈LΣ_q^k (λ,ϕ).

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

Malaysian Journal of Fundamental and Applied Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.40

自引率

0.00%

发文量