New Criteria for Starlikness and Convexity of a Certain Family of Integral Operators

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dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorAlavi, Rogayeh
dc.contributor.authorShams, Saeid
dc.contributor.authorAghalary, Rasoul
dc.contributor.authorJoshi, Santosh B.
dc.date.accessioned2023-10-15T17:10:52Z
dc.date.available2023-10-15T17:10:52Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractIn this paper, we first modify one of the most famous theorems on the principle of differential subordination to hold true for normalized analytic functions with a fixed initial Taylor-Maclaurin coefficient. By using this modified form, we generalize and improve several results, which appeared recently in the literature on the geometric function theory of complex analysis. We also prove some simple conditions for starlikeness, convexity, and the strong starlikeness of several one-parameter families of integral operators, including (for example) a certain m-convex integral operator and the familiar Bernardi integral operator.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Alavi, R., Shams, S., Aghalary, R., & Joshi, S. B. (2023). New criteria for starlikness and convexity of a certain family of integral operators. Mathematics, 11(18), 3919. https://doi.org/10.3390/math11183919en_US
dc.identifier.urihttps://doi.org/10.3390/math11183919
dc.identifier.urihttp://hdl.handle.net/1828/15535
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectanalytic functions
dc.subjectunivalent functions
dc.subjectprinciple of differential subordination
dc.subjectfixed initial Taylor-Maclarin coefficient
dc.subjectintegral operators
dc.subjectstarlike functions
dc.subjectconvex functions
dc.subjectJanowski starlike function class
dc.subject�-convex integral operator
dc.subjectBernardi operator
dc.subjectSchwarz lemma
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleNew Criteria for Starlikness and Convexity of a Certain Family of Integral Operatorsen_US
dc.typeArticleen_US

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