{"title":"关于对称点和共轭点的某些广义解析函数子类的系数估计","authors":"G. Singh, G. Singh","doi":"10.55630/serdica.2022.48.279-296","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce certain unified subclasses of close-to-convex functions and quasi-convex functions with respect to symmetric and conjugate points in the unit disc \\(E=\\left\\{z\\in\\mathbb{C}:\\mid z \\mid<1\\right\\}\\) and establish the upper bounds of the first four coefficients for these classes. This study will work as a motivation for the other researchers in this field to study some more similar classes.","PeriodicalId":509503,"journal":{"name":"Serdica Mathematical Journal","volume":"9 3-4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Coefficient estimates for some generalized subclasses of analytic functions with respect to symmetric and conjugate points\",\"authors\":\"G. Singh, G. Singh\",\"doi\":\"10.55630/serdica.2022.48.279-296\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce certain unified subclasses of close-to-convex functions and quasi-convex functions with respect to symmetric and conjugate points in the unit disc \\\\(E=\\\\left\\\\{z\\\\in\\\\mathbb{C}:\\\\mid z \\\\mid<1\\\\right\\\\}\\\\) and establish the upper bounds of the first four coefficients for these classes. This study will work as a motivation for the other researchers in this field to study some more similar classes.\",\"PeriodicalId\":509503,\"journal\":{\"name\":\"Serdica Mathematical Journal\",\"volume\":\"9 3-4\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Serdica Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55630/serdica.2022.48.279-296\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Serdica Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55630/serdica.2022.48.279-296","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
本文介绍了单位圆盘(E=left/{z/in/mathbb{C}:\mid z \mid<1/right/})中关于对称点和共轭点的某些统一的近凸函数和准凸函数子类,并建立了这些类的前四个系数的上限。这项研究将激励该领域的其他研究人员研究更多类似的类。
Coefficient estimates for some generalized subclasses of analytic functions with respect to symmetric and conjugate points
In this paper, we introduce certain unified subclasses of close-to-convex functions and quasi-convex functions with respect to symmetric and conjugate points in the unit disc \(E=\left\{z\in\mathbb{C}:\mid z \mid<1\right\}\) and establish the upper bounds of the first four coefficients for these classes. This study will work as a motivation for the other researchers in this field to study some more similar classes.