In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...

In this paper we obtain the Fekete-Szegö inequality for a class of analytic functions f(z) defined in the open unit disk for which

In the present paper, we consider a generalised subclass of analytic functions involving arithmetic, geometric and harmonic means. For this function class we obtain an inclusion result, Fekete-Szegö inequality and coefficient bounds for bi-univalent 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)+αz2f ′′(z) (1−α)f(z)+αzf ′(z) (α ≥ 0) 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...

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.

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...

Coefficient bounds for some subclasses of p-valently starlike functions Abstract. For functions of the form f(z) = z+ ∑∞ n=1 ap+nz p+n we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete–Szegö-like inequality for classes of functions defined through extended fractiona...

The purpose of this article is to obtain the sharp estimates first four initial logarithmic coefficients for class BTs bounded turning functions associated with a petal-shaped domain. Further, we investigate estimate Fekete-Szegö inequality, Zalcman inequality on and Hankel determinant H2,1Ff/2 H2,2Ff/2 entry coefficients.