Fuzzy Differential Subordinations Bsaed Upon the Mittag-Leffler Borel Distribution

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorEl-Deeb, Sheza M.
dc.date.accessioned2021-06-08T17:19:34Z
dc.date.available2021-06-08T17:19:34Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this paper, we investigate several fuzzy differential subordinations that are connected with the Borel distribution series B(λ,α,β)(z) of the Mittag-Leffler type, which involves the two-parameter Mittag-Leffler function Eα,β(z). Using the above-mentioned operator B(λ,α,β), we also introduce and study a class MFλ,α,β(η) of holomorphic and univalent functions in the open unit disk Δ. The Mittag-Leffler-type functions, which we have used in the present investigation, belong to the significantly wider family of the Fox-Wright function pΨq(z), whose p numerator parameters and q denominator parameters possess a kind of symmetry behavior in the sense that it remains invariant (or unchanged) when the order of the p numerator parameters or when the order of the q denominator parameters is arbitrarily changed. Here, in this article, we have used such special functions in our study of a general Borel-type probability distribution, which may be symmetric or asymmetric. As symmetry is generally present in most works involving fuzzy sets and fuzzy systems, our usages here of fuzzy subordinations and fuzzy membership functions potentially possess local or non-local symmetry features.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., & El-Deeb, S. M. (2021). Fuzzy Differential Subordinations Based Upon the Mittag-Leffler Typer Borel Distribution. Symmetry, 13(6), 1-15. https://doi.org/10.3390/sym13061023.en_US
dc.identifier.urihttps://doi.org/10.3390/sym13061023
dc.identifier.urihttp://hdl.handle.net/1828/13023
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectholomorphic functions
dc.subjectanalytic functions
dc.subjectunivalent functions
dc.subjectfuzzy differential subordination
dc.subjectfuzzy best dominant
dc.subjectMittag-Leffler functions
dc.subjectFox-Wright function
dc.subjectMittag-Leffler type Borel distribution
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleFuzzy Differential Subordinations Bsaed Upon the Mittag-Leffler Borel Distributionen_US
dc.typeArticleen_US

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