A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives

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dc.contributor.authorKhan, Bilal
dc.contributor.authorLiu, Zhi-Guo
dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorKhan, Nazar
dc.contributor.authorDarus, Maslina
dc.contributor.authorTahir, Muhammad
dc.date.accessioned2020-10-05T20:48:35Z
dc.date.available2020-10-05T20:48:35Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractIn the present investigation, by using certain higher-order q-derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q-starlike functions in the open unit disk. For each of these newly-defined function classes, several interesting properties and characteristics are systematically derived. These properties and characteristics include (for example) distortion theorems and radius problems. A number of coefficient inequalities and a sufficient condition for functions belonging to the subclasses studied here are also discussed. Relevant connections of the various results presented in this investigation with those in earlier works on this subject are also pointed out.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThe authors would like to express their gratitude to the anonymous referees for many valuable suggestions regarding a previous version of this paper.en_US
dc.identifier.citationBilal, K., Liu, Z., Srivastava, H. M., Khan, N., Darus, M., & Tahir, M. (2020). A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives. Mathematics, 8(9), 1-12. https://doi.org/10.3390/math8091470.en_US
dc.identifier.urihttps://doi.org/10.3390/math8091470
dc.identifier.urihttp://hdl.handle.net/1828/12175
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectmultivalent functions
dc.subjectq-difference (or q-derivative) operator
dc.subjectdistortion theorems
dc.subjectradius problem
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivativesen_US
dc.typeArticleen_US

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