Majorization results based upon the Bernardi integral operator

dc.contributor.authorAl-Shbeil, Isra
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorArif, Muhammad
dc.contributor.authorHaq, Mirajul
dc.contributor.authorKhan, Nazar
dc.contributor.authorKhan, Bilal
dc.date.accessioned2022-11-13T14:59:37Z
dc.date.available2022-11-13T14:59:37Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractBy making use of some families of integral and derivative operators, many distinct subclasses of analytic, starlike functions, and symmetric starlike functions have already been defined and investigated from numerous perspectives. In this article, with the help of the one-parameter Bernardi integral operator, we investigate several majorization results for the class of normalized starlike functions, which are associated with the Janowski functions. We also give some particular cases of our main results. Finally, we direct the interested readers to the possibility of examining the fundamental or quantum (or q-) extensions of the findings provided in this work in the concluding section. However, the (p, q)-variations of the suggested q-results will provide relatively minor and inconsequential developments because the additional (rather forced-in) parameter p is obviously redundanten_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationAl-Shbeil, I., Srivastava, H., Arif, M., Haq, M., Khan, N., & Khan, B. (2022). “Majorization results based upon the Bernardi integral operator.” Symmetry, 14(7), 1404. https://doi.org/10.3390/sym14071404en_US
dc.identifier.urihttps://doi.org/10.3390/sym14071404
dc.identifier.urihttp://hdl.handle.net/1828/14460
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectanalytic (holomorphic or regular) functions
dc.subjectunivalent functions
dc.subjectstarlike functions
dc.subjectmajorization problems
dc.subjectBernardi integral operator
dc.subjectcarathéodory class of functions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleMajorization results based upon the Bernardi integral operatoren_US
dc.typeArticleen_US

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