Subclasses Of P-valent Functions Research Articles

Inclusion Properties of p-Valent Functions Associated with Borel Distribution Functions

In this paper, we define a differential operator on an open unit disk Δ by using the novel Borel distribution (BD) operator and means of convolution. This operator is adopted to introduce new subclasses of p-valent functions through the principle of differential subordination, and we focus on some interesting inclusion relations of these classes. Additionally, some inclusion relations are derived by using the Bernardi integral operator. Moreover, relevant convolution results are established for a class of analytic functions on Δ, and other results of analytic univalent functions are derived in detail. This study provides a new perspective for developing p-univalent functions with BD and offers valuable understanding for further research in complex analysis.

Coefficient bounds for \(p\)-valent functions

This present paper introduces two new subclasses of p-valent functions. The coefficient bounds and Fekete-Szego inequalities for the functions in these classes are also obtained.

Some Inequalities on <i>p</i>-Valent Functions Related to Geometric Structure Based on <i>q</i>-Derivative

By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-convex functions are also obtained.

On certain subclasses of p-valent functions with negative coefficients defined by a generalized differential operator

On certain subclasses of p-valent functions with negative coefficients defined by a generalized differential operator

Subclasses of p-Valent Functions Involving a New Operator Containing the Generalized Mittag–Leffler Function

The purpose of the present paper is to investigate some subordination, other properties and inclusion relations for functions in certain subclasses of multivalent functions which are defined by the linear operator containing the generalized Mittag–Leffler function.

On a Subclass of P-Valent Functions Defined by a Generalized Salagean Operator

In recent times, the study of analytic functions has been useful in solving many problems in mechanics, Laplace equation, electrostatics, etc. An analytic function is said to be univalent in a domain if it does not take the same value twice in that domain while an analytic function is said to be p-valent in a domain if it does not take the same value more than p times in that domain. Many researches on properties of p-valent functions using Salagean, Al Oboudi and Opoola differential operators have been reviewed. The aim of this research is to obtain the properties of new subclasses of p-valent functions defined by Salagean differential operator and its objectives are to obtain new subclasses of p-valent functions and the necessary properties for the new subclasses. This research will be a contribution to knowledge in geometric function theory and provide new tools of applications in fluid dynamics and differential equations. This paper introduces new subclasses of p – valent functions defined by Al –Oboudi differential operator. Finally, the paper studies some interesting results including subordination, coefficient inequalities, starlikeness and convexity conditions, Hadamard product and certain properties of neighbourhoods of the new subclasses of p-valent functions. Theorems were used to establish certain conditions of the new subclasses of p-valent functions.

Some Properties of Subclass of p-Valent Functions Associated with Generalized Hypergeometric Functions

Some Properties of Subclass of <i>p</i>-Valent Functions Associated with Generalized Hypergeometric Functions

Certain coefficient inequalities for p-valent functions

In the present paper, applying lemmas due to Nunokawa et al. [3] and Jack’s lemma we obtain some coefficient inequalities for certain subclass of p-valent functions.

Generalization of Certain New subclass of P-valent Functions with Negative Coefficients Defined by Differential Operator

In this paper we present a new subclass SM u,p (τ, γ, λ, α, p) for analytic functions with negative coefficients of the structure f (z) = z p - Σ ∞ n=p+1 a n z n by using a generalized certain differential operator S k α,β,λ,δ,p f (z) The principle object of this paper is to research the different critical properties and characteristics of the class SM u,p (τ, γ, λ, α, p). We additionally determine many results for the Hadamard products of functions belonging to the class SM u,p (τ ,γ,λ,α,p).

Third Hankel determinant for certain subclass of p–valent functions

The objective of this paper is to obtain an upper bound to the Hankel determinant for certain subclass of p-valent functions, using Toeplitz determinants.

Inclusion Properties of Certain Subclasses ofp-Valent Functions Associated with the Integral Operator

The purpose of the present paper is to introduce two subclasses ofp-valent functions by using the integral operator and to investigate various properties for these subclasses.

On Certain Subclass of P-Valent Functions with Negative Coefficients Defined by Convolution

On Certain Subclass of P-Valent Functions with Negative Coefficients Defined by Convolution

Differential subordination and superordination for certain subclasses of p-valent functions

In this paper, we study applications of the differential subordination and superordination of analytic p-valent functions in the open unit disc associated with certainoperator defined by the Wright generalized hypergeometric function. Sandwich-type result involving this operator is also derived.

Differential subordination and superordination for certain subclasses of p-valent functions

In this paper we derive some subordination and superordination results for certain p-valent analytic functions in the open unit disc, which are acted upon by a class of extended multiplier transformations. Relevant connection of the results, which are presented in this paper with various known results are also considered.

Inclusion and neighborhood properties of a certain subclasses of p-valent functions with negative coefficients

By means of Ruscheweyh derivative operator, we introduced and investigated two new subclasses of p-valent analytic functions. The various results obtained here for each of these function class include coefficient bounds and distortion inequalities, associated inclusion relations for the (n, ?)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of non-homogenous differential equation.

ON A SUBCLASS OF p-VALENT FUNCTIONS

ON A SUBCLASS OF p-VALENT FUNCTIONS

Certain Coefficient Bounds forp-Valent Functions

In the present paper, the authors obtain sharp bounds for certain subclasses ofp-valent functions. The results are extended to functions defined by convolution.