Fuzzy differential subordinations connected with the linear operator

We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$. Using the linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha},$ we also introduce a class of univalent...

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Autores principales: Sheza M. El-Deeb, Georgia I. Oros
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Publicado: Institute of Mathematics of the Czech Academy of Science 2021
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Acceso en línea:https://doaj.org/article/655cfc6388d647fd9abb49a64f0088bd
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spelling oai:doaj.org-article:655cfc6388d647fd9abb49a64f0088bd2021-11-08T09:59:12ZFuzzy differential subordinations connected with the linear operator0862-79592464-713610.21136/MB.2020.0159-19https://doaj.org/article/655cfc6388d647fd9abb49a64f0088bd2021-12-01T00:00:00Zhttp://mb.math.cas.cz/full/146/4/mb146_4_2.pdfhttps://doaj.org/toc/0862-7959https://doaj.org/toc/2464-7136We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$. Using the linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha},$ we also introduce a class of univalent analytic functions for which we give some properties.Sheza M. El-DeebGeorgia I. OrosInstitute of Mathematics of the Czech Academy of Sciencearticle fuzzy differential subordination fuzzy best dominant linear operatorMathematicsQA1-939ENMathematica Bohemica, Vol 146, Iss 4, Pp 397-406 (2021)
institution DOAJ
collection DOAJ
language EN
topic fuzzy differential subordination
fuzzy best dominant
linear operator
Mathematics
QA1-939
spellingShingle fuzzy differential subordination
fuzzy best dominant
linear operator
Mathematics
QA1-939
Sheza M. El-Deeb
Georgia I. Oros
Fuzzy differential subordinations connected with the linear operator
description We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$. Using the linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha},$ we also introduce a class of univalent analytic functions for which we give some properties.
format article
author Sheza M. El-Deeb
Georgia I. Oros
author_facet Sheza M. El-Deeb
Georgia I. Oros
author_sort Sheza M. El-Deeb
title Fuzzy differential subordinations connected with the linear operator
title_short Fuzzy differential subordinations connected with the linear operator
title_full Fuzzy differential subordinations connected with the linear operator
title_fullStr Fuzzy differential subordinations connected with the linear operator
title_full_unstemmed Fuzzy differential subordinations connected with the linear operator
title_sort fuzzy differential subordinations connected with the linear operator
publisher Institute of Mathematics of the Czech Academy of Science
publishDate 2021
url https://doaj.org/article/655cfc6388d647fd9abb49a64f0088bd
work_keys_str_mv AT shezameldeeb fuzzydifferentialsubordinationsconnectedwiththelinearoperator
AT georgiaioros fuzzydifferentialsubordinationsconnectedwiththelinearoperator
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