FEKETE-SZEG\"{O} FUNCTIONAL FOR SOME SUBCLASS OF ANALYTIC FUNCTIONS

The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions

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

Fekete-szegö Functional for Some Subclass of Non-bazilevič Functions

In this present investigation, the authors obtain a sharp Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which (1 + β) ( z f(z) )α − βf ′(z) ( z f(z) )1+α , (β ∈ C, 0 < α < 1) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also, certain applications of our results for a class of functions de...

On Fekete-Szegö Problems for Certain Subclass of Analytic Functions

The purpose of the present paper is to derive the Fekete-Szegö inequality for the class , ( ) s M    of normalized analytic functions ( ) f z defined on the open unit disk for which , , ( ( )) ' ( ) s s z f z f z       lies in a region starlike with respect to 1 and symmetric with respect to the real axis.