{"title":"关于负系数分形幂解析函数的一个子类","authors":"Z. E. Abdulnaby, R. Ibrahim","doi":"10.31926/but.mif.2020.13.62.2.2","DOIUrl":null,"url":null,"abstract":"The purpose of this article is to introduce a new general family of normalized analytic fractal function in the open unit disk. We employ this class to define a fractional differential operator of two fractals. This operator, under some conditions involves the well known Salagean differential operator. Our method is based on the Hadamard product and its generalization of functions with negative coeffcients.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"2010 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On a subclass of analytic functions of fractal power with negative coefficients\",\"authors\":\"Z. E. Abdulnaby, R. Ibrahim\",\"doi\":\"10.31926/but.mif.2020.13.62.2.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this article is to introduce a new general family of normalized analytic fractal function in the open unit disk. We employ this class to define a fractional differential operator of two fractals. This operator, under some conditions involves the well known Salagean differential operator. Our method is based on the Hadamard product and its generalization of functions with negative coeffcients.\",\"PeriodicalId\":38784,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"volume\":\"2010 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2020.13.62.2.2\",\"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":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2020.13.62.2.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
On a subclass of analytic functions of fractal power with negative coefficients
The purpose of this article is to introduce a new general family of normalized analytic fractal function in the open unit disk. We employ this class to define a fractional differential operator of two fractals. This operator, under some conditions involves the well known Salagean differential operator. Our method is based on the Hadamard product and its generalization of functions with negative coeffcients.