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Title: A Study on Some Subclasses of Univalent Analytic Functions in the Unit Disc
Researcher: Vangala Srinivas
Guide(s): Ingle R.N.
Keywords: univalent analytic
University: Swami Ramanand Teerth Marathwada University
Completed Date: 27/07/2017
Abstract: In recent years, various interesting properties and characteristics of newlinemany different subclasses of univalent analytic functions have been newlinesystematically investigated. newlineThe properties of functions in the class S, and its subclasses such as newlineStarlike, Strongly starlike, Convex, Uniformly Convex, Uniformly Starlike, newlineMeromarphically Uniformly Convex, Meromarphiclaly Starlike functions newlinehave been widely investigated by various researchers in the past three newlinedecades. In the other direction new subclass of functions which are defined newlineinvolving operators were introduced. Differential operators are powerful newlinemathematical tools that find new subclasses of S. One of the famous newlinedifferential operators is Salagean Operator. newlineIn the Present work some new subclasses of Univalent Analytic newlineFunctions are introduced and their coefficient estimates, growth and newlinedistortion theorems, radius of starlikeness and convexity are obtained. newlineApplications of differential subordination are also obtained for these classes newline2) OBJECTIVES: newlineThe main objectives of the study carried out are as follows: newline1. To study and understand the various subclasses of Univalent Analytic newlinefunctions such as Starlike, Convex, Close to Convex, newlinemeromorphically starlike, etc. newline7 newline2. To study and understand various differential operators, integral newlineoperators to investigate some new subclasses of univalent analytic newlinefunctions in the unit disc. newline3. To investigate and introduce some new subclasses of univalent newlineanalytic functions. newline4. To discuss some interesting properties of certain subclasses of newlineunivalent analytic functions in the unit disc. newline5. To find coefficient estimates, extreme points, radius of starlike and newlineradius of convexity for our new subclasses. newline3) PROPOSED CONTENTS AND BRIEF DESCRIPTION OF THE newlineTHESIS: newlineThe thesis entitled A STUDY ON SOME SUBCLASSES OF newlineUNIVALENT ANALYTIC FUNCTIONS IN THE UNIT DISC has newlineseven chapters is divided into section and subsections. The chapter wise newlinescheme of the thesis is as follows. The present work is devoted to the study newlineof certain subclasses of un
Pagination: 143p
Appears in Departments:School of Mathematical Sciences

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02_certificate.pdf6.92 kBAdobe PDFView/Open
03_abstract.pdf61.86 kBAdobe PDFView/Open
04_decleration.pdf7 kBAdobe PDFView/Open
05_acknowledgement.pdf10.89 kBAdobe PDFView/Open
06_contents.pdf6.84 kBAdobe PDFView/Open
07_abbreviations.pdf8.97 kBAdobe PDFView/Open
08_chapter 1.pdf444.26 kBAdobe PDFView/Open
09_chapter 2.pdf993.4 kBAdobe PDFView/Open
10_chapter 3.pdf1.06 MBAdobe PDFView/Open
11_chapter 4.pdf643.03 kBAdobe PDFView/Open
12_chapter 5.pdf425.09 kBAdobe PDFView/Open
13_chapter 6.pdf985.49 kBAdobe PDFView/Open
14_chapter 7.pdf518.04 kBAdobe PDFView/Open
15_bibliography.pdf33.05 kBAdobe PDFView/Open

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