scholarly journals Certain Subclass of Univalent Functions Involving Fractional Q-Calculus Operator

2017 ◽  
Vol 13 (4) ◽  
pp. 7370-7378
Author(s):  
Mustafa Ibrahim HAMEED
Keyword(s):  
Integral Operator ◽  
Univalent Function ◽  
Hadamard Product ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Geometric Properties ◽  
Coefficient Inequality ◽  
Operator Mean

The main object of the present paper is to introduce certain subclass of univalent function associated with the concept of differential subordination. We studied some geometric properties like coefficient inequality and nieghbourhood property, the Hadamard product properties and integral operator mean inequality.

scholarly journals On Differential Subordination and Superordination for Univalent Function Involving New Operator

2022 ◽  
pp. 22-31
Author(s):  
Mustafa I. Hameed ◽  
Buthyna Najad Shihab
Keyword(s):  
Integral Operator ◽  
Hadamard Product ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Linear Operators ◽  
Open Unit ◽  
Open Unit Disc ◽  
Third Order ◽  
Differential Subordination And Superordination ◽  
Shed Light

The goal of this paper is to investigate some of the features of differential subordination of analytic univalent functions in an open unit disc. In addition, it has shed light on geometric features such as coefficient inequality, Hadamard product qualities, and the Komatu integral operator. Some intriguing results for third-order differential subordination and superordination of analytic univalent functions have been installed. Then, using the convolution of two linear operators, certain results of third order differential subordination involving linear operators were reported. As a result, we use features of the Komatu integral operator to analyze and study third-order subordinations and superordinations in relation to the convolution. Finally, several results for third order differential subordination in the open unit disk using generalized hypergeometric function have been addressed using the convolution operator.

scholarly journals Certain Subclasses of Meromorphic Univalent Function Involving Differential Operator

2020 ◽  
Vol 31 (4) ◽  
pp. 80
Author(s):  
Teba Rzaij Al-Kubaisi ◽  
AbdulRahman Salman Juma
Keyword(s):  
Differential Operator ◽  
Univalent Function ◽  
Hadamard Product ◽  
Distortion Theorem ◽  
Geometric Properties ◽  
Growth Theorem ◽  
Coefficient Inequality

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.

A subclass of meromorphic functions defined by a certain integral operator on Hilbert space

2017 ◽  
Vol 26 (2) ◽  
pp. 115-124
Author(s):  
Arzu Akgül
Keyword(s):  
Hilbert Space ◽  
Integral Operator ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Extreme Points ◽  
Space Operator ◽  
Integral Means ◽  
New Class ◽  
Coefficient Inequality ◽  
Hilbert Space Operator

In the present paper, we introduce and investigate a new class of meromorphic functions associated with an integral operator, by using Hilbert space operator. For this class, we obtain coefficient inequality, extreme points, radius of close-to-convex, starlikeness and convexity, Hadamard product and integral means inequality.

scholarly journals Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
K. AL-Shaqsi
Keyword(s):  
Integral Operator ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Polylogarithm Function ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Differential Subordinations ◽  
Admissible Functions

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.

scholarly journals Certain Classes of Univalent Functions With Negative Coefficients Defined By General Linear Operator

2019 ◽  
Vol 24 (7) ◽  
pp. 129
Author(s):  
Mazin Sh.Mahmoud1 ◽  
Abdul Rahman S.Juma ◽  
, Raheam A. Mansor Al-Saphory3
Keyword(s):  
Linear Operator ◽  
Hypergeometric Function ◽  
Univalent Function ◽  
Hypergeometric Functions ◽  
Hadamard Product ◽  
Univalent Functions ◽  
General Linear ◽  
Class Of Functions

In this study, a subclass of an univalent function with negative coefficients which is defined by anew general Linear operator have been introduced. The sharp results for coefficients estimators, distortion and closure bounds, Hadamard product, and Neighborhood, and this paper deals with the utilizing of many of the results for classical hypergeometric function, where there can be generalized to m-hypergeometric functions. A subclasses of univalent functions are presented, and it has involving operator which generalizes many well-known. Denote A the class of functions f and  we have other results have been studied   http://dx.doi.org/10.25130/tjps.24.2019.140

scholarly journals A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 160
Author(s):  
Şahsene Altınkaya ◽  
Sibel Yalçın ◽  
Serkan Çakmak
Keyword(s):  
Integral Operator ◽  
Univalent Function ◽  
Fibonacci Numbers ◽  
Univalent Functions ◽  
Function Class ◽  
Faber Polynomial ◽  
New Class ◽  
Polynomial Expansions

In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general coefficient of the bi-univalent function class.

scholarly journals On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator

Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 312
Author(s):  
Aqeel Ketab AL-khafaji ◽  
Waggas Galib Atshan ◽  
Salwa Salman Abed
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Geometric Properties ◽  
New Class

In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained.

scholarly journals Further Geometric Properties of a Subclass of Univalent Functions

2020 ◽  
Vol 8 (1) ◽  
pp. 1
Author(s):  
Ezekiel A. Oyekan
Keyword(s):  
Differential Operator ◽  
Univalent Function ◽  
Univalent Functions ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Geometric Properties ◽  
Generalized Differential ◽  
Necessary And Sufficient

This present paper aims to investigate further, certain characterization properties for a subclass of univalent function defined by a generalized differential operator. In particular, necessary and sufficient conditions for the function  to belong to the subclass  is established. Additionally, we provide the 𝛅-neighborhood properties for the function  by making use of the necessary and sufficient conditions. The results obtained are new geometric properties for the subclass  

scholarly journals A Class of Harmonic Univalent Functions Defined by Differential Operator and the Generalization

2020 ◽  
pp. 1440-1445
Author(s):  
Faten Fakher Aubdulnabi ◽  
Kassim A. Jassim
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Geometric Properties ◽  
New Class

In this paper, a new class of harmonic univalent functions was defined by the differential operator. We obtained some geometric properties, such as the coefficient estimates, convex combination, extreme points, and convolution (Hadamard product), which are required

Sufficient conditions for Carathéodory functions and applications to univalent functions

2019 ◽  
Vol 69 (5) ◽  
pp. 1065-1076
Author(s):  
Oh Sang Kwon ◽  
Young Jae Sim
Keyword(s):  
Analytic Function ◽  
Unit Disk ◽  
Univalent Functions ◽  
Sufficient Conditions ◽  
Differential Subordination ◽  
Geometric Properties ◽  
First Order ◽  
Carathéodory Functions ◽  
Carathéodory Function

Abstract In this paper, the authors derive several sufficient conditions for a function to be the Carathéodory function in the unit disk 𝔻: = {z ∈ ℂ: |z| < 1}. More precisely, for given β ∈ (–π/2, π/2), γ ∈ [0, cosβ) and δ ∈ (0, π/2], we find some sufficient conditions for an analytic function p such that p(0) = 1 to satisfy Re{e−iβ p(z)} > γ or | arg {p(z)–γ} | < δ for all z ∈ 𝔻 by using the first-order differential subordination. We then apply the results obtained here in order to find some conditions for univalent functions with geometric properties such as spirallikeness and strongly starlikeness.

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