Some Subordination Results of Multivalent Functions Defined by Integral Operator

Some Subordination Results of Multivalent Functions Defined by Integral Operator

Some analytic and multivalent functions defined by subordination property

In this paper we introduce some functions which are multivalently analytic defined by the subordination property and the DziokSrivastava linear operator. We obtain characterizing property, growth and distortion inequalities, closure theorem, extreme points, radius of starlikeness, convexity, and close-to-convexity for the functions in the class. We also discuss inclusion and neighbourhood prope...

Harmonic Multivalent Functions Defined by an Integral Operator

In this paper, we introduce a new class of p-valent harmonic functions defined by an integral operator. Coefficient inequalities, distortion bounds for the functions belonging to this class are obtained. The invariance of the class Hp(n, α) under convolution, convex linear combination and also under generalized Bernardi-Libera Livingston integral operator are discussed. 2000 Mathematics Subject...

Certain Subordination Results For A Class Of Analytic Functions Defined By The Generalized Integral Operator

We obtain several interesting subordination results for a class of analytic functions defined by using a generalized integral operator. Keywords—Analytic functions, Hadamard product, Subordinating factor sequence

Neighborhood Properties of Multivalent Functions Defined Using an Integral Operator

In this paper, we introduce the generalized integral operator Jp(σ, λ) and using this generalized integral operator, the new subclasses H n,m(b, σ, λ), Ln,m(b, σ, λ;μ), H n,m(b, σ, λ) and L n,m(b, σ, λ;μ) of the class of multivalent functions denoted by Tp(n) are defined. Further for functions belonging to these classes, certain properties of neighborhoods of functions of complex order are stud...