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.

scholarly journals Subclass of p-valent Function with Negative Coefficients Applying Generalized Al-Oboudi Differential Operator

2021 ◽  
pp. 87-103
Author(s):  
Timilehin G. Shaba ◽  
Abd'gafar T. Tiamiyu ◽  
Ismaila O. Ibrahim ◽  
Abdullahi A. Ibrahim
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Distortion Theorem ◽  
Negative Coefficient ◽  
Growth Theorem ◽  
Coefficient Inequalities ◽  
Generalized Differential

In this paper we introduce a new subclass $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ of $p$-valent functions with negative coefficient defined by Hadamard product associated with a generalized differential operator. Radii of close-to-convexity, starlikeness and convexity of the class $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ are obtained. Also, distortion theorem, growth theorem and coefficient inequalities are established.

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 Analytic functions, Subordination, q-Ruscheweyh derivative, Hadamard product, Univalent function

2020 ◽  
pp. 2350-2360
Author(s):  
Osamah N. Kassar ◽  
Abdul Rahman S. Juma
Keyword(s):  
Differential Operator ◽  
Univalent Function ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Distortion Theorem ◽  
Geometric Characterization ◽  
Func Tions ◽  
Paper Making ◽  
Ruscheweyh Derivative

In this paper, making use of the q-R uscheweyh differential  operator , and  the  notion of t h e J anowski f unction, we study some subclasses of  holomorphic   f- unction s . Moreover , we obtain so me geometric characterization like co efficient es timat es , rad ii of starlikeness ,distortion theorem , close- t o- convexity , con vexity, ext reme point s, neighborhoods, and the i nte gral mean inequalities of func tions affiliation to these c lasses

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

2021 ◽  
pp. 2667-2675
Author(s):  
Mohammed Hadi Lafta
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Convex Combination ◽  
Univalent Functions ◽  
Integral Operators ◽  
Coefficient Estimates ◽  
Growth Theorem ◽  
Closure Theorem ◽  
Major Target ◽  
Meromorphic Univalent Functions

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.

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 Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

2012 ◽  
Vol 2012 ◽  
pp. 1-21
Author(s):  
Jingyu Yang ◽  
Shuhai Li
Keyword(s):  
Linear Operator ◽  
Fractional Calculus ◽  
Hadamard Product ◽  
Distortion Theorem ◽  
Coefficient Inequality ◽  
Radius Of Convexity ◽  
Convolution Properties

Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclassYa,c+(A,B;p,λ,α)of the classA+(p). In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given. The results are presented here would provide extensions of some earlier works. Several new results are also obtained.

scholarly journals Some Geometric Properties Of Multivalent Convex Function For Operator On Hilbert Space

2018 ◽  
Vol 26 (8) ◽  
pp. 60-67
Author(s):  
Mohammed Hadi Lafta ◽  
Mazin Hashim Suhhiem
Keyword(s):  
Hilbert Space ◽  
Convex Function ◽  
Convex Functions ◽  
Convex Set ◽  
Extreme Points ◽  
Distortion Theorem ◽  
Weighted Mean ◽  
Geometric Properties ◽  
Closure Theorem ◽  
Coefficient Inequality

              By making use of the operator on Hilbert space, we introduce and study some properties of geometric of a subclass of multivalent convex functions with negative coefficients. Also, we obtain some geometric properties, such as coefficient inequality, growth and distortion theorem, extreme points, convex set, closure theorem, radius of close-to-convexity, weighted mean and inclusive properties.

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

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

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1840
Author(s):  
Lei Shi ◽  
Bakhtiar Ahmad ◽  
Nazar Khan ◽  
Muhammad Ghaffar Khan ◽  
Serkan Araci ◽  
...  
Keyword(s):  
Differential Operator ◽  
Convex Functions ◽  
Starlike Functions ◽  
Distortion Theorem ◽  
Coefficient Estimates ◽  
Radius Of Starlikeness ◽  
Growth Theorem ◽  
New Class ◽  
Radius Of Convexity

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.

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