{"title":"分数阶微积分在一类负系数多价解析函数上的应用","authors":"A. Wanas, S. Mahmood","doi":"10.28919/eml/4003","DOIUrl":null,"url":null,"abstract":"The object of this paper to study an application of the fractional calculus techniques for a certain class 𝑀𝑅(𝑝, 𝑚, 𝜀, 𝜎, 𝜇) of multivalent analytic functions with negative coefficients in the open unit disk. Distortiontheorems for the fractional derivative and fractional integration are obtained. Also, we gain results about coefficientinequality, neighborhood property and radii of starlikeness and convexity","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients\",\"authors\":\"A. Wanas, S. Mahmood\",\"doi\":\"10.28919/eml/4003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The object of this paper to study an application of the fractional calculus techniques for a certain class 𝑀𝑅(𝑝, 𝑚, 𝜀, 𝜎, 𝜇) of multivalent analytic functions with negative coefficients in the open unit disk. Distortiontheorems for the fractional derivative and fractional integration are obtained. Also, we gain results about coefficientinequality, neighborhood property and radii of starlikeness and convexity\",\"PeriodicalId\":364975,\"journal\":{\"name\":\"Engineering Mathematics Letters\",\"volume\":\"69 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/eml/4003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/eml/4003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients
The object of this paper to study an application of the fractional calculus techniques for a certain class 𝑀𝑅(𝑝, 𝑚, 𝜀, 𝜎, 𝜇) of multivalent analytic functions with negative coefficients in the open unit disk. Distortiontheorems for the fractional derivative and fractional integration are obtained. Also, we gain results about coefficientinequality, neighborhood property and radii of starlikeness and convexity