Jin-Lin Liu

Classes of meromorphically multivalent functions associated with the generalized hypergeometric function

Making use of a linear operator, which is defined here by means of a Hadamard product (or convolution) involving the generalized hypergeometric function, the authors introduce and investigate the various properties and characteristics of two novel classes of meromorphically multivalent functions. They also apply the familiar concept of neighborhoods of analytic functions to these classes of meromorphically multivalent functions.

Subclasses of meromorphically multivalent functions associated with a certain linear operator

The authors investigate various inclusion and other properties of a certain class of meromorphically p-valent functions which are defined here by means of a linear operator. The familiar concept of neighborhood of analytic functions is also extended and applied to the meromorphically p-valent functions considered here.

Subordinations for certain multivalent analytic functions associated with the generalized Srivastava–Attiya operator

In this paper, we investigate a new class of multivalent analytic functions defined by the generalized Srivastava–Attiya operator s, b . Several properties of functions belonging to this class are derived.

A class of multivalently analytic functions associated with the Dziok–Srivastava operator

Making use of the familiar Dziok–Srivastava operator defined by means of a Hadamard product (or convolution), we introduce here a new class of multivalently analytic functions and investigate several interesting properties of this multivalently analytic function class. We also show how the results presented here are related to those in earlier works on the subject.

Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator

By using the method of differential subordinations, we derive certain sufficient conditions for strongly star-like functions associated with the generalized Srivastava–Attiya operator. All these results presented here are sharp.

On subordinations for certain analytic functions associated with Noor integral operator

By making use of the method of differential subordination, we investigate several interesting properties of the Noor integral operator.

A class of meromorphically multivalent functions defined by means of a linear operator

Abstract Let Σ p denote the class of functions of the form: f ( z ) = z - p + ∑ n = 1 ∞ a n z n - p ( n ∈ N = { 1 , 2 , 3 , … } ) , which are analytic in the punctured open unit disk U 0 = { z : 0 | z | 1 } . Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce a new subclass M p ( a , c , λ ; h ) of Σ p and investigate some properties for the class M p ( a , c , λ ; h ) .

Certain properties of multivalent functions associated with an extended fractional differintegral operator

Abstract Let A k ( p ) denote the class of functions of the form f ( z ) = z p + ∑ n = k ∞ a p + n z p + n ( p , k ∈ N = { 1 , 2 , 3 , … } ) which are analytic in the open unit disk U = { z : z ∈ C and | z | 1 } . By making use of the techniques of the differential subordination, we derive certain properties of the extended fractional differintegral operator Ω z ( λ , p ) ( - ∞ λ p + 1 ; p ∈ N ) (introduced recently by Patel and Mishra) defined in the class A k ( p ) .

Certain inequality properties of multivalent analytic functions involving the Dziok–Srivastava operator

Abstract The object of the present paper is to derive certain inequality properties of multivalent analytic functions involving the Dziok–Srivastava operator.