On certain aspects of subordinations And superordinations of analytic Functions

Abstract

The work reported in this thesis is devoted mainly to the study of certain newlinesubclasses of analytic functions de ned on the open unit disc newlineusing subordination and superordination The thesis consists of seven chapters newlineChapter 1 form a general introduction of the subject matter of the thesis newlineAlso it contains basic de nitions of notions like Univalence Convexity Starlikeness newlineand related concepts Well known and important properties of several subclasses of newlinefunctions relevant to the work are stated in the form of Theorems without proof newlineFirst order di erential subordinations play a prominent role in the theory newlineof univalent functions newline