{"title":"m折对称双一元函数的汉克尔行列式","authors":"Ş. Altınkaya, S. Yalçın","doi":"10.37193/cmi.2019.01.01","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a general subclass H_{\\Sigma _{m}}(\\beta ) of \\Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc \\mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Hankel determinant for m-fold symmetric bi-univalent functions\",\"authors\":\"Ş. Altınkaya, S. Yalçın\",\"doi\":\"10.37193/cmi.2019.01.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a general subclass H_{\\\\Sigma _{m}}(\\\\beta ) of \\\\Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc \\\\mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.\",\"PeriodicalId\":112946,\"journal\":{\"name\":\"Creative Mathematics and Informatics\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Creative Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37193/cmi.2019.01.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Creative Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37193/cmi.2019.01.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hankel determinant for m-fold symmetric bi-univalent functions
In this paper, we consider a general subclass H_{\Sigma _{m}}(\beta ) of \Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc \mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.
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