Radii Of Starlikeness Research Articles

Starlikeness of Normalized Bessel Functions with Symmetric Points

Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized conditions. Our prime tool in these investigations is the Mittag-Leffler representation of Bessel functions of the first kind.

On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions

In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity.

On a Generalized Subclass of p-Valent Meromorphic Functions by Defined q-Derivative Operator

Financial Mathematics is the application of mathematical methods to financial problems. It is shown that p-valent functions play important roles in Financial Mathematics. In this paper, we define a new subclass of meromorphically p-valent functions by using q-derivative operator and fractional q-calculus operator. We obtain some geometric properties of coefficient estimates, extreme points, convex linear combination, radii of starlikeness and convexity. Finally, e-neighborhood property will be investigated.Financial Mathematics is the application of mathematical methods to financial problems. It is shown that p-valent functions play important roles in Financial Mathematics. In this paper, we define a new subclass of meromorphically p-valent functions by using q-derivative operator and fractional q-calculus operator. We obtain some geometric properties of coefficient estimates, extreme points, convex linear combination, radii of starlikeness and convexity. Finally, e-neighborhood property will be investigated.

Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions

By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass.

Some Geometric Properties for a Certain Class of Meromorphic Univalent Functions by Differential Operator

The major target of this paper is to study a confirmed class of meromorphic univalent functions . We procure several results, such as those related to coefficient estimates, distortion and growth theorem, radii of starlikeness, and convexity for this class, n additionto hadamard product, convex combination, closure theorem, integral operators, and neighborhoods.

Pascu-Type Analytic Functions by Using Mittag-Leffler Functions in Janowski Domain

Keeping in view the various important applications of Mittag-Leffer functions in the fields of applied sciences, we introduce Pascu-type analytic functions utilizing the concept of Mittag-Leffler functions in the region of Janowski domain. Moreover, we investigate some useful properties of these functions such as sufficiency criteria, distortion and growth bounds, convex combination, radius of starlikeness, and some partial sum results.

Applications of Some Generalized Janowski Meromorphic Multivalent Functions

In this article, the ideas of post-quantum calculus and meromorphic multivalent functions are combined and some applications of these functions are discussed. We introduce a new subclass of meromorphic multivalent functions in association with Janowski domain. We investigate and study some useful geometric properties of this class of functions such as sufficiency criteria, distortion problem, growth theorem, radii of starlikeness and convexity, convex combination, and coefficient estimates for this class.

A Subclass of Multivalent Janowski Type q-Starlike Functions and Its Consequences

In this article, by utilizing the theory of quantum (or q-) calculus, we define a new subclass of analytic and multivalent (or p-valent) functions class Ap, where class Ap is invariant (or symmetric) under rotations. The well-known class of Janowski functions are used with the help of the principle of subordination between analytic functions in order to define this subclass of analytic and p-valent functions. This function class generalizes various other subclasses of analytic functions, not only in classical Geometric Function Theory setting, but also some q-analogue of analytic multivalent function classes. We study and investigate some interesting properties such as sufficiency criteria, coefficient bounds, distortion problem, growth theorem, radii of starlikeness and convexity for this newly-defined class. Other properties such as those involving convex combination are also discussed for these functions. In the concluding part of the article, we have finally given the well-demonstrated fact that the results presented in this article can be obtained for the (p,q)-variations, by making some straightforward simplification and will be an inconsequential exercise simply because the additional parameter p is obviously unnecessary.

Новый подкласс мероморфных функций с положительными коэффициентами, определяемых дзета-функциями Гурвица-Лерха

In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Hurwitz-Lerch Zeta function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class $\sigma^*(\gamma, k, \lambda, b, s).$

Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

PROPERTIES OF A NEW SUBCLASS OF ANALYTIC FUNCTIONS ASSOCIATED TO RAFID - OPERATOR AND q-DERIVATIVE

In this article, we introduce a new subclass of analytic functions, using the exponent operators of Rafid and $ q $-derivative. The coefficient estimates, extreme points, convex linear combination, radii of starlikeness, convexity, and finally integral are investigated.

Applications of a New q -Difference Operator in Janowski-Type Meromorphic Convex Functions

The main aim of the present article is the introduction of a new differential operator in q -analogue for meromorphic multivalent functions which are analytic in punctured open unit disc. A subclass of meromorphic multivalent convex functions is defined using this new differential operator in q -analogue. Furthermore, we discuss a number of useful geometric properties for the functions belonging to this class such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity. Also, algebraic property of closure is discussed of functions belonging to this class. Integral representation problem is also proved for these functions.

Applications of Beta Negative Binomial Distribution Series on Holomorphic Functions

The purpose of this article is to derive the necessary and sufficient conditions for the power series 〖P℘〗_(ℷ,γ)^μ (t) whose coefficients are probabilities of the beta negative binomial distribution to be in the family F(σ,τ,ϵ,η,μ,ℷ,γ) of holomorphic functions which are defined in the open unit disk. We establish a number of important geometric properties, such as, coefficient estimates, extreme points, neighborhood property, integral representation, radii of starlikeness and convexity and Hadamard product properties for functions belongs to this family. Also we determinate some differential subordination properties of the power series 〖P℘〗_(ℷ,γ)^μ (t).

On Differential Subordination of Higher-Order Derivatives of Multivalent Functions

The main objective of this paper is to study the concept of dependency and introduce a new subclass linked to derivatives of higher order for polyvalent functions with a different operator. Thus, the results were important it was obtained with respect to different types of some geometric properties of which coefficient estimate, distortion and growth bounds, radii of starlikeness, convexity, and close-to-convex.

NEW SUBCLASS OF MEROMORPHIC FUNCTIONS BY THE GENERALIZATION OF THE q-DERIVATIVE OPERATOR

In this paper, we introduce a new class of meromorphic functions, using the exponent $ q $-derivative operator, and then look at it coefficient estimates, extreme points, convex linear combination, Radii of starlikeness, convexity and finally partial sum property are investigated.

Harmonic Multivalent Functions Defined by General Integral Operator

The main aim of the present work is to introduce the class of multivalent harmonic functions defined by the general integral operator. Thus, We get some geometric properties, like coefficients estimate, extreme point and distortion theorem, convolution property, radii of starlikeness, and convexity.

Certain properties of multivalent analytic functions defined by $ q $-difference operator involving the Janowski function

<abstract> A new subclass of multivalent analytic functions is defined by means of $ q $-difference operator and Janowski function. Some properties of functions in this new subclass such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radii of starlikeness and convexity, partial sums and closure theorems are studied. </abstract>

SOME PROPERTIES OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY MITTAG- LEFFLER FUNCTION

In this work, we introduce and study a new subclass of analytic functions defined by a differential operator and obtained coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are obtained. Furthermore, we obtained integral means inequalities for the function. 2020 Mathematical Sciences Classification: 30C45. Keywords and Phrases: analytic, coefficient bounds, starlike, distortion.

Certain Subclasses of Meromorphic Univalent Function Involving Differential Operator

The main object of the present paper is to introduce the class of meromorphic univalent function K* (σ,τ,S) defined by differential operator with study some geometric properties like coefficient inequality , growth theorem and distortion theorem, radii of starlikeness and convexity of f(z) in the class K* (σ,τ,S) .Also the concept of convolution (Hadamard product) investigate and Neighborhoods of the elements of class K* (σ,τ,S) are obtained.

Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative

In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class. Coefficient estimates, extreme points, convex linear combination, Radii of starlikeness and convexity and finally partial sum property are investigated.