Coefficient estimates for a subclass of analytic and bi-univalent functions

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dc.contributor.authorSrivastava, H. M.
dc.contributor.authorBansal, Deepak
dc.date.accessioned2018-05-30T18:01:09Z
dc.date.available2018-05-30T18:01:09Z
dc.date.copyright2015en_US
dc.date.issued2015
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 present investigation of the second-named author was supported by the Department of Science and Technology of the Government of India under Sanction Letter No. SR/FTP/MS-015/2010.en_US
dc.identifier.citationSrivastava, H.M. & Bansal, D. (2015). Coefficient estimates for a subclass of analytic and bi-univalent functions. Journal of the Egyptian Mathematical Society, 23(2), 242-246. https://doi.org/10.1016/j.joems.2014.04.002en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.joems.2014.04.002
dc.identifier.urihttp://hdl.handle.net/1828/9413
dc.language.isoenen_US
dc.publisherJournal of the Egyptian Mathematical Societyen_US
dc.subjectAnalytic functionsen_US
dc.subjectUnivalent functionsen_US
dc.subjectSubordination between analytic functionsen_US
dc.subjectSchwarz functionen_US
dc.subjectBi-univalent functionsen_US
dc.subjectKoebe functionen_US
dc.titleCoefficient estimates for a subclass of analytic and bi-univalent functionsen_US
dc.typeArticleen_US

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