Argument estimates of certain classes of P-Valent meromorphic functions involving certain operator

In this paper, by making use of subordination , we investigate some inclusion relations and argument properties of certain classes of p-valent meromorphic functions involving certain operator

Inclusion Properties on a Class of Meromorphic Functions Defined by a Linear Operator

In the present paper, we study a certain class of meromorphic univalent functions f(z) dened by the linear operator L(α,β) f (z). The aim of the present paper is to prove some properties for the class Σα,β,kλ;(h) to satisfy the certain subordination.AMS Subject Classication: 30C4

On certain classes of meromorphically multivalent functions associated with the generalized hypergeometric function

AbstractMaking use of a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the generalized hypergeometric function, we introduce two novel subclasses Ωp,q,s(α1;A,B,λ) and Ωp,q,s+(α1;A,B,λ) of meromorphically multivalent functions of order λ(0≤λ<p) in the punctured disc U∗. In this paper we investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. We also derive many interesting results for the Hadamard products of functions belonging to the class Ωp,q,s+(α1;A,B,λ)

On certain class of analytic . . .

Motivated by a multiplier transformation and some subclasses of meromorphic functions which were defined by means of the Hadamard product of the Cho-Kwon-Srivastava operator, we define here a similar transformation by means of the Ghanim and Darus operator. A class related to this transformation will be introduced and the properties will be discussed

A class of p-valent meromorphic functions defined by the Liu–Srivastava operator

We introduce a subclass of p-valent meromorphic functions involving the Lui–Srivastava operator and investigate various properties of this subclass. We also indicate the relationships between various results presented in the paper and the results obtained in earlier works.Введено підклас p-валентних мероморфних Функцій, що визначаються оператором Луі - Шрiвастави, та вивчено різноманітні властивості цього підкласу. Також вказано співвідношення між різноманітними результатами, що отримані в роботі, та результатами, отриманими раніш