Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domain

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dc.contributor.authorKhan, Bilal
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorKhan, Nazar
dc.contributor.authorDarus, Maslina
dc.contributor.authorTahir, Muhammad
dc.contributor.authorAhmad, Qazi Zahoor
dc.date.accessioned2020-10-19T21:17:21Z
dc.date.available2020-10-19T21:17:21Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractFirst, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization Rq(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open unit disk U, is given. Then, the coefficient estimates, the Fekete–Szegö problem, and the second-order Hankel determinant H2(1) for functions belonging to this class Rq(h) are investigated. Furthermore, similar results are examined and presented for the functions zf(z) and f−1(z). For the validity of our results, relevant connections with those in earlier works 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.citationKhan, B., Srivastava, H. M., Khan, N., Darus, M., Tahir, M., & Ahmad, Q. Z. (2020). Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf -Like Domain. Mathematics, 8(8), 1-15. https://doi.org/10.3390/math8081334.en_US
dc.identifier.urihttps://doi.org/10.3390/math8081334
dc.identifier.urihttp://hdl.handle.net/1828/12211
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectanalytic functions
dc.subjectunivalent functions
dc.subjectbounded turning functions
dc.subjectq-derivative (or q-difference) operator
dc.subjectprinciple of subordination between analytic functions
dc.subjectleaf-like domain
dc.subjectcoefficient estimates
dc.subjectTaylor-Maclaurin coefficients
dc.subjectFekete–Szegö problem
dc.subjectHankel determinant
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleCoefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domainen_US
dc.typeArticleen_US

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