FEKETE-SZEGO problem for a class of analytic functinos defined by convolution

Fekete-Szego Estimation Problem for Some Subclasses of Analytic Functions

In this present investigation, the authors obtain Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which zf ′(z) (1− λ)f(z) + λzf ′(z) (0 ≤ λ < 1) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are giv...

The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions

The Fekete – Szegö problem for a class of analytic functions defined by Carlson – Shaffer operator

In the present investigation we solve Fekete–Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions.

Fekete-Szegö Problem for a New Class of Analytic Functions

which are analytic in the open unit disk U {z : z ∈ C and |z| < 1} and S denote the subclass ofA that are univalent in U. A function f z inA is said to be in class S∗ of starlike functions of order zero in U, if R zf ′ z /f z > 0 for z ∈ U. Let K denote the class of all functions f ∈ A that are convex. Further, f is convex if and only if zf ′ z is star-like. A function f ∈ A is said to be close...

the fekete-szego coefficient functional for transforms of analytic functions