scholarly journals Certain Subclass of Analytic Functions Defined by Wanas Operator

2021 ◽  
pp. 137-144
Author(s):  
Timilehin Gideon Shaba ◽  
Abbas Kareem Wanas ◽  
Ismaila Omeiza Ibrahim
Keyword(s):  
Present Article ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties ◽  
Special Cases

In present article, we introduce and study a certain family of analytic functions defined by Wanas operator in the open unit disk. We establish some important geometric properties for this family. Further we point out certain special cases for our results.

scholarly journals Geometric Properties of a New Integral Operator

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Roberta Bucur ◽  
Loriana Andrei ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties ◽  
Special Cases

We obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk. Some subordination results for the new integral operator are also given. Several corollaries follow as special cases.

scholarly journals A New Parametric Differential Operator of p-Valently Analytic Functions

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Samir B. Hadid ◽  
Rabha W. Ibrahim ◽  
G. Murugusundaramoorthy
Keyword(s):  
Differential Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties

Newly, numerous investigations are considered utilizing the idea of parametric operators (integral and differential). The objective of this effort is to formulate a new 2D-parameter differential operator (PDO) of a class of multivalent functions in the open unit disk. Consequently, we formulate the suggested operator in some interesting classes of analytic functions to study its geometric properties. The recognized class contains some recent works.

COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH HORADAM POLYNOMIAL

2020 ◽  
Vol 9 (12) ◽  
pp. 10091-10102
Author(s):  
D. Kavitha ◽  
K. Dhanalakshmi ◽  
N. Arulmozhi
Keyword(s):  
Present Article ◽  
Unit Disk ◽  
Univalent Function ◽  
Analytic Functions ◽  
Function Class ◽  
Open Unit ◽  
Open Unit Disk ◽  
The Novel ◽  
Coefficient Estimates

In this present article, we studied and examined the novel general subclasses of the function class $\Sigma$ of bi-univalent function defined in the open unit disk, which are associated with the Horadam polynomial. This study locates estimates on the Taylor - Maclaurin coefficients $|a_{2}|$ {\it and} $|a_{3}|$ in functions of the class which are considered. Additionally, Fekete-Szeg\"{o} inequality of functions belonging to this subclasses are also obtained.

Geometric properties of the differential shift plus complex Volterra operator

2017 ◽  
Vol 11 (01) ◽  
pp. 1850013
Author(s):  
Rabha W. ibrahim
Keyword(s):  
Hardy Space ◽  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Volterra Operator ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties

In this paper, we define a new integral operator in the open unit disk. This operator is considered as a complex Volterra operator. Moreover, we define a new subspace of Hardy space involving the normalized analytic functions. We shall show that the new integral operator is closed in the subspace of normalized functions. Geometric characterizations are established in the sequel. Our display is maintained by the Jack Lemma.

scholarly journals ANGULAR ESTIMATIONS OF CERTAIN ANALYTIC FUNCTIONS

1998 ◽  
Vol 29 (1) ◽  
pp. 47-53
Author(s):  
NAK EUN CHO ◽  
IN HWA KIM
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Special Cases

The object of the present paper is to investigate some argument properties of certain analytic functions in the open unit disk. Our resuIt contain some interesting corollaries as the special cases.

scholarly journals Subordination by convex functions

2006 ◽  
Vol 2006 ◽  
pp. 1-6 ◽  
Author(s):  
Rosihan M. Ali ◽  
V. Ravichandran ◽  
N. Seenivasagan
Keyword(s):  
Analytic Function ◽  
Convex Function ◽  
Unit Disk ◽  
Convex Functions ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Subordination Result ◽  
Special Cases

For a fixed analytic functiong(z)=z+∑n=2∞gnzndefined on the open unit disk andγ<1, letTg(γ)denote the class of all analytic functionsf(z)=z+∑n=2∞anznsatisfying∑n=2∞|angn|≤1−γ. For functions inTg(γ), a subordination result is derived involving the convolution with a normalized convex function. Our result includes as special cases several earlier works.

A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli

2014 ◽  
Vol 25 (09) ◽  
pp. 1450090 ◽  
Author(s):  
Rajni Mendiratta ◽  
Sumit Nagpal ◽  
V. Ravichandran
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties ◽  
Left Half ◽  
Lemniscate Of Bernoulli

Let [Formula: see text] denote the class of all analytic functions f in the open unit disk with the normalizations f(0) = f′(0) - 1 = 0 such that zf′(z)/f(z) lies in the interior of the left-half of the shifted lemniscate of Bernoulli [Formula: see text]. In this paper, we investigate the geometric properties of functions in this class and compute the [Formula: see text]-radius for functions belonging to several interesting classes.

scholarly journals Geometric Properties of a Class of Analytic Functions Defined by a Differential Inequality

2015 ◽  
Vol 2015 ◽  
pp. 1-4
Author(s):  
Manpreet Kaur ◽  
Sushma Gupta ◽  
Sukhjit Singh
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Differential Inequality ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties

Let A be the class of analytic functions f defined in the open unit disk E and normalized by f(0)=f'(0)-1=0. For f(z)/z≠0 in E, let Mα,λ:={f∈A:|-αz2(z/f(z))′′  +f′(z)(z/f(z))2-1|≤λ,  z∈E}, where λ>0 and α∈R∖[-1/2,0]. In the present paper, we find conditions under which functions in the class M(α,λ) are starlike of order γ, 0≤γ<1.

scholarly journals On a geometric study of a class of normalized functions defined by Bernoulli’s formula

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Rabha W. Ibrahim ◽  
Ibtisam Aldawish ◽  
Dumitru Baleanu
Keyword(s):  
Hypergeometric Function ◽  
Unit Disk ◽  
Analytic Functions ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties ◽  
Central Purpose ◽  
Geometric Study

AbstractThe central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some solutions are indicated by the well-known hypergeometric function. The class of starlike functions is investigated containing the suggested class.

scholarly journals Some properties of a class of analytic functions

2018 ◽  
Vol 37 (4) ◽  
pp. 173-186
Author(s):  
Neng Xu ◽  
R. K. Raina
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Function Class ◽  
Open Unit ◽  
Open Unit Disk ◽  
Special Cases ◽  
Class Of Functions

Making use of convolution, we introduce and investigate a certain class of functions which is analytic in the open unit disk. We obtain interesting properties of starlikeness and convexity for this function class. Special cases and some useful consequences of our main results are also mentioned.

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