{"title":"一类基于分数导数的分析函数的包含性和自变量性质","authors":"M. Foroutan, M. Yasamian, A. Ebadian","doi":"10.30495/JME.V0I0.1316","DOIUrl":null,"url":null,"abstract":"Making use of the operator $\\Omega^{\\lambda}f(z)$ based on fractional derivative which is introduced by Owa and Srivastava inthis paper the new operator $Q_{\\lambda}^{\\nu}$ is defined. Two subclasses of analytic functions in the open unit disk $\\cal U$ concerning with this operator are introduced. Some results such as inclusion relations, subordination properties, integral preserving properties and argument estimate are investigated.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inclusion and argument properties for a certain class of analytic functions based on fractional derivatives\",\"authors\":\"M. Foroutan, M. Yasamian, A. Ebadian\",\"doi\":\"10.30495/JME.V0I0.1316\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Making use of the operator $\\\\Omega^{\\\\lambda}f(z)$ based on fractional derivative which is introduced by Owa and Srivastava inthis paper the new operator $Q_{\\\\lambda}^{\\\\nu}$ is defined. Two subclasses of analytic functions in the open unit disk $\\\\cal U$ concerning with this operator are introduced. Some results such as inclusion relations, subordination properties, integral preserving properties and argument estimate are investigated.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-08-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1316\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Inclusion and argument properties for a certain class of analytic functions based on fractional derivatives
Making use of the operator $\Omega^{\lambda}f(z)$ based on fractional derivative which is introduced by Owa and Srivastava inthis paper the new operator $Q_{\lambda}^{\nu}$ is defined. Two subclasses of analytic functions in the open unit disk $\cal U$ concerning with this operator are introduced. Some results such as inclusion relations, subordination properties, integral preserving properties and argument estimate are investigated.