{"title":"Fuzzy differential subordinations connected with the linear operator","authors":"S. El-Deeb, G. Oros","doi":"10.21136/mb.2020.0159-19","DOIUrl":null,"url":null,"abstract":"We obtain several fuzzy differential subordinations by using a linear operator I n,α m,γf(z) = z + ∞ ∑ k=2 (1 + γ(k − 1))m(m+ k)akz . Using the linear operator I m,γ , we also introduce a class of univalent analytic functions for which we give some properties.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/mb.2020.0159-19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 12
Abstract
We obtain several fuzzy differential subordinations by using a linear operator I n,α m,γf(z) = z + ∞ ∑ k=2 (1 + γ(k − 1))m(m+ k)akz . Using the linear operator I m,γ , we also introduce a class of univalent analytic functions for which we give some properties.