Please use this identifier to cite or link to this item: http://prr.hec.gov.pk/jspui/handle/123456789/15624
Full metadata record
DC FieldValueLanguage
dc.contributor.authorUmar, Sadaf-
dc.date.accessioned2020-11-13T07:11:00Z-
dc.date.available2020-11-13T07:11:00Z-
dc.date.issued2020-
dc.identifier.govdoc20757-
dc.identifier.urihttp://prr.hec.gov.pk/jspui/handle/123456789/15624-
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.language.isoenen_US
dc.publisherAbdul Wali Khan University, Mardanen_US
dc.subjectPhysical Sciencesen_US
dc.subjectMathematicsen_US
dc.titleOn Study of Certain Subclasses of Analytic and Multivalent Functionsen_US
dc.typeThesisen_US
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

Files in This Item:
File Description SizeFormat 
Sadaf umar maths 2020 awk mardan.pdfPhd.Thesis974.85 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.