Applications of Certain Conic Domains to a Subclass of q-Starlike Functions Associated with the Janowski Functions

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dc.contributor.authorKhan, Bilal
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorKhan, Nazar
dc.contributor.authorDarus, Maslina
dc.contributor.authorAhmad, Qazi Zahoor
dc.contributor.authorTahir, Muhammad
dc.date.accessioned2021-04-20T18:15:25Z
dc.date.available2021-04-20T18:15:25Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn our present investigation, with the help of the basic (or q-) calculus, we first define a new domain which involves the Janowski function. We also define a new subclass of the class of q-starlike functions, which maps the open unit disk U, given by U= {z:z∈C and |z| <1}, onto this generalized conic type domain. We study here some such potentially useful results as, for example, the sufficient conditions, closure results, the Fekete-Szegö type inequalities and distortion theorems. We also obtain the lower bounds for the ratio of some functions which belong to this newly-defined function class and for the sequences of the partial sums. Our results are shown to be connected with several earlier works related to the field of our present investigation. Finally, in the concluding section, we have chosen to reiterate the well-demonstrated fact that any attempt to produce the rather straightforward (p,q)-variations of the results, which we have presented in this article, will be a rather trivial and inconsequential exercise, simply because the additional parameter p is obviously redundant.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThe fourth-named author was supported byMOHEgrant: FRGS/1/2019/STG06/UKM/01/1.en_US
dc.identifier.citationKhan, B., Srivastava, H. M., Khan, N., Darus, M., Ahmad, Q. Z. (2021). Applications of Certain Conic Domains to a Subclass of q-Starlike Functions Associated with the Janowski Fuctions. Symmetry, 13(4), 1-18. https://doi.org/10.3390/sym13040574.en_US
dc.identifier.urihttps://doi.org/10.3390/sym13040574
dc.identifier.urihttp://hdl.handle.net/1828/12859
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectanalytic functions
dc.subjectconic domains
dc.subjectstarlike functions
dc.subjectk-uniformly starlike functions
dc.subjectq-starlike functions
dc.subjectsufficient conditions
dc.subjectpartial sums
dc.subjectdistortion theorems
dc.subjectJanowski functions
dc.subjectprinciple of subordination
dc.subjectCaratheodory functions
dc.subjectq-derivative operator
dc.subjectq-hypergeometric functions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleApplications of Certain Conic Domains to a Subclass of q-Starlike Functions Associated with the Janowski Functionsen_US
dc.typeArticleen_US

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