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.
Generalization of Certain New subclass of P-valent Functions with Negative Coefficients Defined by Differential Operator
In this paper we present a new subclass SM u,p (τ, γ, λ, α, p) for analytic functions with negative coefficients of the structure f (z) = z p - Σ ∞ n=p+1 a n z n by using a generalized certain differential operator S k α,β,λ,δ,p f (z) The principle object of this paper is to research the different critical properties and characteristics of the class SM u,p (τ, γ, λ, α, p). We additionally determine many results for the Hadamard products of functions belonging to the class SM u,p (τ ,γ,λ,α,p).
New criteria for meromorphic starlike univalent functions
This paper establishes new criteria for meromorphic starlike univalent functions of the form Further property preserving integrals are considered.