Differential subordination and differential superordination for classes of admissible multivalent functions associated with a linear operator

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dc.contributor.authorAli, Ekram E.
dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorEl-Ashwah, Rabha M.
dc.contributor.authorAlbalahi, Abeer M.
dc.date.accessioned2023-11-30T16:06:50Z
dc.date.available2023-11-30T16:06:50Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractIn this paper, we first introduce a linear integral operator ℑp (a,c,u)(u>0;a,c ∈ℝ;c>a>−up;p ∈ℕ+:={1,2,3,…}), which is somewhat related to a rather specialized form of the Riemann–Liouville fractional integral operator and its varied form known as the Erdélyi–Kober fractional integral operator. We then derive some differential subordination and differential superordination results for analytic and multivalent functions in the open unit disk ⋃, which are associated with the above-mentioned linear integral operator ℑp(a, c, u). The results presented here are obtained by investigating appropriate classes of admissible functions. We also obtain some Sandwich-type results.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationAli, E. E., Srivastava, H. M., El-Ashwah, R. M., & Albalahi, A. M. (2022). Differential subordination and differential superordination for classes of admissible multivalent functions associated with a linear operator. Mathematics, 10(24), 4690. https://doi.org/10.3390/math10244690en_US
dc.identifier.urihttps://doi.org/10.3390/math10244690
dc.identifier.urihttp://hdl.handle.net/1828/15653
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectanalytic functions
dc.subjectunivalent
dc.subjectmultivalent functions
dc.subjectdifferential subordination
dc.subjectdifferential superordination
dc.subjectsandiwch-type theorems
dc.subjectadmissible function classes
dc.subjectlinear operator
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleDifferential subordination and differential superordination for classes of admissible multivalent functions associated with a linear operatoren_US
dc.typeArticleen_US

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