A subclass of p-valently close-to-convex functions of order α

CERTAIN SUBCLASSES OF p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS

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.

PROPERTIES OF CERTAIN p-VALENTLY CONVEX FUNCTIONS

for some α (0 α< 1). We denote by p(α) the subclass of p consisting of functions which are p-valently convex of order α in U. In particular, we denote 1(0)= . A function f(z)∈ 1 is said to be uniformly convex inU if f(z) is in the class and has the property that the image arc f(γ) is convex for every circular arc γ contained in U with center at t ∈ U. We also denote by the subclass of 1 consist...

A Certain Subclass of P-valently Analytic Functions with Negative Coefficients of Complex Order

Abstract. The object of this paper is to show some properties of functions belonging to a subclass Mp(A, B, b, n) (where b is a complex number with Re(b) > 0 and A and B are two arbitrary constants with −1 6 B < A 6 1). Coefficient estimates and some distortion theorems for this class of functions are found. Radii of close-to-convexity, starlikeness and convexity are derived. An application to ...

On a subclass of close-to-convex functions

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 + ∞...

On a Subclass of Multivalent Close to Convex Functions