Some General Classes of q-Starlike Functions Associated with the Janowski Functions

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorTahir, Muhammad
dc.contributor.authorKhan, Bilal
dc.contributor.authorAhmad, Qazi Zahoor
dc.contributor.authorKhan, Nazar
dc.date.accessioned2019-03-21T00:18:27Z
dc.date.available2019-03-21T00:18:27Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractBy making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order α in the open unit disk U were introduced and studied from many different viewpoints and perspectives. In this paper, we first investigate the relationship between various known classes of q-starlike functions that are associated with the Janowski functions. We then introduce and study a new subclass of q-starlike functions that involves the Janowski functions. We also derive several properties of such families of q-starlike functions with negative coefficients including (for example) distortion theorems.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H.M., Tahir, M., Khan, B., Ahmad, Q.Z. & Khan, N. (2019). Some General Classes of q-Starlike Functions Associated with the Janowski Functions. Symmetry, 11(2), 292. https://doi.org/10.3390/sym11020292en_US
dc.identifier.urihttps://doi.org/10.3390/sym11020292
dc.identifier.urihttp://hdl.handle.net/1828/10660
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectanalytic functions
dc.subjectunivalent functions
dc.subjectstarlike and q-starlike functions
dc.subjectq-derivative (or q-difference) operator
dc.subjectsufficient conditions
dc.subjectdistortion theorems
dc.subjectJanowski functions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome General Classes of q-Starlike Functions Associated with the Janowski Functionsen_US
dc.typeArticleen_US

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