Certain studies on fekete szego functional for some subclasses of analytic univalent functions in the open unit disk

Abstract

The first chapter consists preliminary definitions and results in connection with univalent functions, starlike functions,convex functions, close-to-convex functions spirallike functions and harmonic mappings which establishes the background of the forthcoming chapters. The analytical characterization of various subclasses of analytic functions are specified in the form of theorems without proof. Chapter two leads to the study of new subclass of analytic univalent function with negative coefficients defiend by bessel function. Characterization property,upper and lower bound of function in the class, distortion theorem,growth theorem, extremal function of the class and the radius problems were discussed through hadamard product, Chapter three deals with the univalence of new subclass of analytic functions associated with srivastava-attaiya integral operator using the principle pf subordination. A differential subordination in the complex plane is an overview of a differential inequality on the real line. In complex analysis significance of differential implecations that are characterizing the complex valued functions. wide-ranging information of such theory was found in miller and mocanu (1973).Applications of fractional calculus to the functions was also discussed in this chapter, newline newline newline