{"title":"涉及某微分算子的多价解析函数的几个子类","authors":"M.Elumalai C.Selvaraj","doi":"10.15520/AJCEM.2017.VOL6.ISS1.71.PP7-11","DOIUrl":null,"url":null,"abstract":"In this paper using differential operator, we introduce a certain subclass of multivalent analytic functions on the open unit disk. Such conditions are subordination and superordination to investigate some inclusion, convolution and inequality properties, distortion theorems and also sufficient conditions for multivalent starlikeness are discussed. Keywords: Multivalent function, starlike function, subordination, superordination, differential operator. AMS Subject Classification: 30C45","PeriodicalId":173381,"journal":{"name":"Asian Journal of Current Engineering and Maths","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Subclasses of Multivalent Analytic Functions Involving A Certain Differential Operator\",\"authors\":\"M.Elumalai C.Selvaraj\",\"doi\":\"10.15520/AJCEM.2017.VOL6.ISS1.71.PP7-11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper using differential operator, we introduce a certain subclass of multivalent analytic functions on the open unit disk. Such conditions are subordination and superordination to investigate some inclusion, convolution and inequality properties, distortion theorems and also sufficient conditions for multivalent starlikeness are discussed. Keywords: Multivalent function, starlike function, subordination, superordination, differential operator. AMS Subject Classification: 30C45\",\"PeriodicalId\":173381,\"journal\":{\"name\":\"Asian Journal of Current Engineering and Maths\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-02-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Current Engineering and Maths\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15520/AJCEM.2017.VOL6.ISS1.71.PP7-11\",\"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 Current Engineering and Maths","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15520/AJCEM.2017.VOL6.ISS1.71.PP7-11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Subclasses of Multivalent Analytic Functions Involving A Certain Differential Operator
In this paper using differential operator, we introduce a certain subclass of multivalent analytic functions on the open unit disk. Such conditions are subordination and superordination to investigate some inclusion, convolution and inequality properties, distortion theorems and also sufficient conditions for multivalent starlikeness are discussed. Keywords: Multivalent function, starlike function, subordination, superordination, differential operator. AMS Subject Classification: 30C45