New Class Of Multivalent Functions Research Articles

New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator

Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $\mathcal{F J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $\mathcal{F} \mathcal{J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$.

New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator

Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $\mathcal{F J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $\mathcal{F} \mathcal{J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$.

New Class of Multivalent Functions with Negative Coefficients

In the present paper, we define a new class NA(n,p,λ,α,β) of multivalent functions which are holomorphic in the unit disk ∆ ={s∈C∶|s|<1}. A necessary and sufficient condition for functions to be in the class NA(n,p,λ,α,β) is obtained. Also, we get some geometric properties like radii of starlikeness, convexity and close-to-convexity, closure theorems, extreme points, integral means inequalities and integral operators.

Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients

In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the convolution properties for the class

A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator

The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class . Also we apply the Fractional calculus techniques to obtain the applications of the class . Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.

Properties of multivalent functions associated with the integral operator defined by the hypergeometric function

In this paper, we introduce a new class of multivalent functions by using a generalized integral operator defined by the hypergeometric function. Some properties such as inclusion, radius problem and integral preserving are considered. MSC:30C45, 30C50.

Application of convolution and Dziok-Srivastava linear operators on analytic and p-valent functions

In this paper, we introduce a new class of multivalent functions defined by convolution and Dziok-Srivastava operator and study some properties of this class e.g. coefficient estimates, integral representation, distortion and closure theorems, convolution and integral operator.

An application of fractional calculus to a new class of multivalent functions with negative coefficients

Motivated by some earlier works of Chen et al. (cf., [1,2]), dealing with various applications of the operators of fractional calculus in Analytic Function Theory, the authors introduce and study rather systematically a certain subclass of analytic and p-valent functions with negative coefficients. This subclass is defined by using a familiar fractional derivative operator. Coefficient estimates, growth and distortion theorems, and many other interesting and useful properties and characteristics of this class of analytic and p-valent functions are obtained; some of these properties involve, for example, linear combinations and modified Hadamard products (or convolution) of functions belonging to the class introduced here.