{"title":"关于抛物线区域上的星形函数和凸函数","authors":"R. Brar, S. S. Billing","doi":"10.12816/0041833","DOIUrl":null,"url":null,"abstract":"Using the technique of differential subordination, we, here, find the best dominant having parabolic image for an operator which is a combined form of starlike and convex operators. As special cases of our main results, we obtain the sufficient conditions for parabolic starlike and uniformly convex functions.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Starlike and Convex Functions in a Parabolic Region\",\"authors\":\"R. Brar, S. S. Billing\",\"doi\":\"10.12816/0041833\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using the technique of differential subordination, we, here, find the best dominant having parabolic image for an operator which is a combined form of starlike and convex operators. As special cases of our main results, we obtain the sufficient conditions for parabolic starlike and uniformly convex functions.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0041833\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0041833","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Starlike and Convex Functions in a Parabolic Region
Using the technique of differential subordination, we, here, find the best dominant having parabolic image for an operator which is a combined form of starlike and convex operators. As special cases of our main results, we obtain the sufficient conditions for parabolic starlike and uniformly convex functions.
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