On Classes of Certain Analytic Univalent Functions and Sakaguchi Type Functions
The SERB-Department of Science & Technology, Govt. of India Project amounting to 1.82 Lakhs from 2012-2015 has been successfully initiated and completed by Dr. B.Srutha Keerthi – Professor School of Mechanical and Building Sciences. The focus of the Project is to find results ‘On Classes of Certain Analytic Univalent Functions and Sakaguchi Type Functions’. The final outcome of the Project are: Fekete-Szeg¨o type inequalities for Certain Classes of Bounded Analytic Functions of Complex Order and Sakaguchi type functions are obtained, Introduced new subclasses of analytic functions with negative coefficients and estimated some properties of functions, Co-efficient bounds, Neighborhood and Integral means inequality for the function f(z) under these classes, Investigated New Subclasses of Bi-Univalent Functions in the open unit disk and obtained bounds for second and third coefficients for functions in these new subclasses, Introduced New Subclasses of k-Uniformly Convex and Starlike Functions with respect to the other points and provided necessary and sufficient conditions, coefficient estimates, Distortion Bounds, Extreme Points, Radii of Close-to-Convexity, Starlikeness and Convexity for these classes with the second Hankel determinant |a2a4-a23| of certain classes of analytic functions being discussed.