An Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Function

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dc.contributor.authorShi, Lei
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorArif, Muhammad
dc.contributor.authorHussain, Shehzad
dc.contributor.authorKhan, Hassan
dc.date.accessioned2019-05-17T16:11:17Z
dc.date.available2019-05-17T16:11:17Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractIn the current article, we consider certain subfamilies S∗e and Ce of univalent functions associated with exponential functions which are symmetric along real axis in the region of open unit disk. For these classes our aim is to find the bounds of Hankel determinant of order three. Further, the estimate of third Hankel determinant for the family S∗e in this work improve the bounds which was investigated recently. Moreover, the same bounds have been investigated for 2-fold symmetric and 3-fold symmetric functions.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research was funded by School of Mathematics and Statistics, Anyang Normal University, Anyan 455002, Henan, China.en_US
dc.identifier.citationShi, L., Srivastava, H.M., Arif, M., Hussain, S. & Khan, H. (2019). An Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Function. Symmetry, 11(5), 598. https://doi.org/10.3390/sym11050598en_US
dc.identifier.urihttps://doi.org/10.3390/sym11050598
dc.identifier.urihttp://hdl.handle.net/1828/10883
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectsubordinations
dc.subjectexponential function
dc.subjectHankel determinant
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleAn Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Functionen_US
dc.typeArticleen_US

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