{"title":"一类双一元函数的解析函数初始系数的上估计","authors":"L. F. Modupe, O. O. Timothy","doi":"10.56557/ajomcor/2022/v29i27835","DOIUrl":null,"url":null,"abstract":"In this paper, Opoola differential operator, which is a generalization of both Salagean differential operator and Al-Oboudi differential operator is used to define a new subclass of analytic and bi-univalent functions by using quasi-subordination principle. The upper estimates for the first two initial coefficients of functions in the new subclass defined are obtained by means of Ma-Minda functions.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"UPPER ESTIMATES OF THE INITIAL COEFFICIENTS OF ANALYTIC FUNCTIONS BELONGING TO A CERTAIN CLASS OF BI-UNIVALENT FUNCTIONS\",\"authors\":\"L. F. Modupe, O. O. Timothy\",\"doi\":\"10.56557/ajomcor/2022/v29i27835\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, Opoola differential operator, which is a generalization of both Salagean differential operator and Al-Oboudi differential operator is used to define a new subclass of analytic and bi-univalent functions by using quasi-subordination principle. The upper estimates for the first two initial coefficients of functions in the new subclass defined are obtained by means of Ma-Minda functions.\",\"PeriodicalId\":200824,\"journal\":{\"name\":\"Asian Journal of Mathematics and Computer Research\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics and Computer Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56557/ajomcor/2022/v29i27835\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics and Computer Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56557/ajomcor/2022/v29i27835","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
UPPER ESTIMATES OF THE INITIAL COEFFICIENTS OF ANALYTIC FUNCTIONS BELONGING TO A CERTAIN CLASS OF BI-UNIVALENT FUNCTIONS
In this paper, Opoola differential operator, which is a generalization of both Salagean differential operator and Al-Oboudi differential operator is used to define a new subclass of analytic and bi-univalent functions by using quasi-subordination principle. The upper estimates for the first two initial coefficients of functions in the new subclass defined are obtained by means of Ma-Minda functions.
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