Convex family of meromorphically multivalent functions on connected sets
Abstract In this paper, by using a differential operator we have defined a new class of meromorphically multivalent functions. Also two useful subclasses of this class involving fixed points are investigated. Important properties of these classes like convex linear combination, coefficient estimates, convex family etc. are found.
Properties of a Subclass of Meromorphic Univalent Functions By Using Multiplier transformation
Abstract In this present paper, we introduced and defined properties of a subclass of meromorphic univalent Functions defined by multiplier transformation in the puncture unit disk ∆ = {z ∈ C: 0 < |z| < 1}. we obtain some properties, like, theorem of coefficient inequality, linear combination, extreme points and convex set.
On certain meromorphic functions with positive coefficients
In this paper, we introduce a new class TP(α) of meromorphic functions with positive coefficients in D={z:0l|z|l1}. The aim of the present paper is to prove some properties for the class Tp(α).