{"title":"Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials","authors":"S. R. Swamy, S. Yalçın","doi":"10.15393/j3.art.2022.10351","DOIUrl":null,"url":null,"abstract":". Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in D = { z ∈ C : | z | < 1 } linked with Gegenbauer polynomials. We investi-gate certain coefficients bounds and the Fekete-Szeg¨o functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"9 3 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Problemy Analiza-Issues of Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15393/j3.art.2022.10351","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
. Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in D = { z ∈ C : | z | < 1 } linked with Gegenbauer polynomials. We investi-gate certain coefficients bounds and the Fekete-Szeg¨o functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated.
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