{"title":"与卷积相关的模糊微分从属关系","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":"{\"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}","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}
Fuzzy differential subordinations connected with convolution
"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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