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dc.contributor.authorUmar, Sadaf-
dc.description.abstractIn this thesis, we study and define certain families of regular and multivalent functions. In particular, we study, the set๐’ฎโ„’ of lemniscate of Bernouli, the set of Janowski Bazileviฤ functions, the set โ„’๐’Ÿ๐œ‚ ๐‘˜ (๐‘Ž, ๐‘, ๐œŒ) of regular functions of reciprocal order and the set ๐’ฎ๐’ฏ๐‘ (๐‘˜, ๐›ฟ, ๐œ‚, ๐‘ž) of multivalent functions. Our new defined families generalize the set of Bazileviฤ functions, the set of convex and starlike functions of reciprocal order and the families of uniformly convex and starlike functions. The family ๐’ฎ๐’ฏ๐‘ (๐‘˜, ๐›ฟ, ๐œ‚, ๐‘ž) of multivalent functions is defined by using newly defined๐‘ž-analogue of p-valent Ruscheweyh operator. We employ various tools and techniques to study certain geometric properties of these families of functions. We mainly study fourth Hankel determinant of the functions belongs to set ๐’ฎโ„’. Further we investigate coefficient bounds, arc-length problem, growth result, integral preservance and some other interesting properties of these classes of functions.en_US
dc.description.sponsorshipHigher Education Commission Pakistanen_US
dc.publisherAbdul Wali Khan University, Mardanen_US
dc.subjectPhysical Sciencesen_US
dc.titleOn Study of Certain Subclasses of Analytic and Multivalent Functionsen_US
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