{"title":"Fuzzy differential subordinations connected with convolution","authors":"S. El-Deeb, Alina Alb-Lupas","doi":"10.24193/subbmath.2023.1.11","DOIUrl":null,"url":null,"abstract":"\"The object of the present paper is to obtain several fuzzy differential subordinations associated with Linear operator $$\\mathcal{D}_{n,\\delta ,g}^{m}f(z) =z+\\sum\\limits_{j=2}^{\\infty }\\left[ 1+\\left( j-1\\right) c^{n}(\\delta )\\right] ^{m}a_{j}b_{j}z^{j}.$$ Using the operator $\\mathcal{D}_{n,\\delta ,g}^{m},$ we also introduce a class $\\mathcal{H}_{n,m,\\delta }^{F}\\left( \\eta ,g\\right) $ of univalent analytic functions for which we give some properties.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Universitatis BabesBolyai Geologia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/subbmath.2023.1.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
"The object of the present paper is to obtain several fuzzy differential subordinations associated with Linear operator $$\mathcal{D}_{n,\delta ,g}^{m}f(z) =z+\sum\limits_{j=2}^{\infty }\left[ 1+\left( j-1\right) c^{n}(\delta )\right] ^{m}a_{j}b_{j}z^{j}.$$ Using the operator $\mathcal{D}_{n,\delta ,g}^{m},$ we also introduce a class $\mathcal{H}_{n,m,\delta }^{F}\left( \eta ,g\right) $ of univalent analytic functions for which we give some properties."
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