{"title":"用切比雪夫多项式求一类双一元函数的初始系数界和二次汉克尔行列式","authors":"R. Ayinla, T. Opoola","doi":"10.56947/gjom.v14i1.1092","DOIUrl":null,"url":null,"abstract":"In this work, we define a new subclass CΣ(β, γ, n, t) of analytic and bi-univalent functions in the open unit disk. Thereafter, we investigated the coefficient bounds and the second Hankel determinant by means of Chebyshev polynomials.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Initial coefficient bounds and second Hankel determinant for a certain class of bi-univalent functions using Chebyshev polynomials\",\"authors\":\"R. Ayinla, T. Opoola\",\"doi\":\"10.56947/gjom.v14i1.1092\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we define a new subclass CΣ(β, γ, n, t) of analytic and bi-univalent functions in the open unit disk. Thereafter, we investigated the coefficient bounds and the second Hankel determinant by means of Chebyshev polynomials.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v14i1.1092\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v14i1.1092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
在此工作中,我们定义了开单位圆盘上解析函数和双单价函数的一个新子类CΣ(β, γ, n, t)。然后,我们用切比雪夫多项式研究了系数界和第二汉克尔行列式。
Initial coefficient bounds and second Hankel determinant for a certain class of bi-univalent functions using Chebyshev polynomials
In this work, we define a new subclass CΣ(β, γ, n, t) of analytic and bi-univalent functions in the open unit disk. Thereafter, we investigated the coefficient bounds and the second Hankel determinant by means of Chebyshev polynomials.