In this paper, the third Hankel determinant for class N of functions convex in one direction is estimated. An analogous problem solved a subclass consisting with real coefficients. Additionally, odd Moreover, similar results are obtained relative M zf′(z), where f∈N. The majority bounds sharp.

A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric defined in ?={z?C:|z|<1} is introduced. The estimates for general Taylor–Maclaurin coefficients introduced are obtained by making use Faber polynomial expansions. In particular, several previous results generalized.

In this paper we introduce and investigate a certain subclass of functions which are analytic in the punctured unit disk and meromorphically close-to-convex. The sub-ordination property, inclusion relationship, coefficient inequalities, distortion theorem and a sufficient condition for our subclass of functions are derived. The results presented here would provide extensions of those given in e...

The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.

The object of the present paper is to drive some properties of certain class Kn,p(A,B) of multivalent analytic functions in the open unit disk E.

In this paper the authors studied the coefficient estimate of a class of functions starlike with respect to k-symmetric points defined by derivative operators D n λ introduced by Al-Shaqsi and Darus [6]. The integral representation and several coefficient inequalities of functions belonging to this class are obtained. 1 Introduction Let A denote the class of functions of the form: f (z) = z + ∞...