Certain studies on analytic Univalent functions with special Reference to conical domain

Abstract

The present work is devoted to the study of certain studies on analytic newlineunivalent functions defined on the open unit disk U z Cz 1 With newlinespecial reference to conical domain this thesis consists of seven chapters of newlinewhich chapter one gives some preliminary definitions and related results newlineSecond chapter gives the application of Bessel differential equations newlinewhich has been effectively used in the theory of univalent functions This newlinechapter has some subclasses of k starlike functions k uniformly convex newlinefunctions kclose to convex functions and kquasi convex functions involving newlineBessel function Hurwitz Lerch zeta function and derived their inclusion newlinerelationships Further certain integral preserving properties are also established newlinek starlike functions and k uniformly convex functions are related to domains newlinebounded by conical sections newline newline