Please use this identifier to cite or link to this item:
Title: On Study of Certain Subclasses of Analytic and Multivalent Functions
Authors: Umar, Sadaf
Keywords: Physical Sciences
Issue Date: 2020
Publisher: Abdul Wali Khan University, Mardan
Abstract: In 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.
Gov't Doc #: 20757
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.