Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

A Class of p-valent Functions in the Punctured Disc

Motivated by Aouf differential operator, a class $F_{\lambda, p}^{n}\left ( \alpha , \beta , \gamma \right )$ of p-valent functions in the punctured disc $U^{*}=\left \{ z:0<\left | z \right |<1 \right \}=U\setminus \left \{ 0 \right \} $ is defined. The coefficient estimates, growth and distortion theorems for the class are obtained.

ON SOME PROPERTIES OF A GENERALIZED CLASS OF CLOSE-TO-STARLIKE FUNCTIONS

In this paper, we consider a new class of close-to-starlike functions defined by the Carlson-Shaffer operator. Let denote the class of analytic univalent functions defined by then ifsatisfy the condition ,where and is a starlike function. Properties of the class such as the coefficient bounds, growth and distortion theorems and radius properties are investigated.

Some properties of a class of analytic functions involving a new generalized differential operator

In the present paper, we introduce a new generalized differentialoperator $A_{\mu,\lambda,\sigma}^{m}(\alpha,\beta)$ defined on the openunit disc $U=\left\{ z\in%%TCIMACRO{\U{2102} }%%BeginExpansion\mathbb{C}:\left\vert z\right\vert <1\right\} $. A novel subclass $\Omega_{m}^{\ast}(\delta,\lambda,\alpha,\beta,b)$ by means of the operator $A_{\mu,\lambda,\sigma}^{m}(\alpha,\beta)$ is also introduced. Coefficient estimates, growth and distortion theorems, closuretheorems, and class preserving integral operators for functions in the class $\Omega_{m}^{\ast}(\delta,\lambda,\alpha,\beta,b)$ are discussed. Furthermore, sufficient conditions for close-to-convexity, starlikeness, and convexity for functions in the class $\Om are obtained

On Some new Results of a Subclass of Meromorphic Univalent Functions with Negative Coefficients Defined by liu – Srivastava Linear Operator

In this paper, we introduce and study a new subclass of meromorphic univalent functions with negative coefficients defined by Liu – Srivastava linear operator in the We obtain some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, partial sums and convolution properties.

On a subclass of quasi-convex functions with fixed second coefficient

In this paper, we introduce the concept of quasi-convex functions by considering a subclass [Formula: see text] of normalized analytic functions in the unit disk [Formula: see text] for some convex function [Formula: see text] with fixed second coefficient of order [Formula: see text], such that [Formula: see text] We obtain results on growth and distortion theorems and radius of convexity.

Some Properties of the Class of Univalent Functions Involving a New Generalized Differential Operator

The main purpose of this paper is to introduce new generalized differential operator Aμm, λ(α,β)f(z) defined in the open unit disc U = {z ∈ : |z| < 1}. We then, using this operator to introduce novel subclass Ωm*(δ,λ,α,β,b) by using the operator Aμm, λ(α,β)f(z). Then, we discuss coefficient estimates growth and distortion theorems, closure theorems and integral operator.