scholarly journals -Bazilevic Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
F. M. Al-Oboudi
Keyword(s):  
Inclusion Relation ◽  
Coefficient Bounds ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Convolution Properties ◽  
Bazilevic Functions

The aim of this paper is to define and study a class of Bazilevic functions using the generalized Salagean operator. Some properties of this class are investigated: inclusion relation, some convolution properties, coefficient bounds, and other interesting results.

scholarly journals Pascu-Type Harmonic Functions with Positive Coefficients Involving Salagean Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
K. Vijaya ◽  
G. Murugusundaramoorthy ◽  
M. Kasthuri
Keyword(s):  
Harmonic Functions ◽  
Extreme Points ◽  
Partial Sums ◽  
Open Unit ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Convolution Properties ◽  
Positive Coefficients ◽  
Complex Valued

Making use of a Salagean operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results presented in this paper including the coeffcient bounds, distortion inequality, and covering property, extreme points, certain inclusion results, convolution properties, and partial sums for this generalized class of functions are discussed.

scholarly journals On Some Classes of Spirallike Functions Defined by the Salagean Operator

2019 ◽  
Author(s):  
Mohammad Mehdi Shabani ◽  
Saeed Hashemi Sababe
Keyword(s):  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Coefficient Estimates ◽  
Inclusion Properties ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Spirallike Functions ◽  
Convolution Properties ◽  
Necessary And Sufficient

In this paper, we introduce two subclasses of analytic and Spirallike functions and investigate convolution properties, the necessary and sufficient condition, coefficient estimates and inclusion properties for these classes .

scholarly journals Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Hatun Özlem Güney ◽  
G. Murugusundaramoorthy ◽  
K. Vijaya
Keyword(s):  
Unit Disk ◽  
Chebyshev Polynomials ◽  
Open Unit ◽  
Open Unit Disk ◽  
Coefficient Bounds ◽  
Function Classes ◽  
Sălăgean Operator ◽  
Salagean Operator

We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Sălăgean operator associated with Chebyshev polynomials. Furthermore, we find estimates of the first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed out.

scholarly journals A New Class of Analytic Functions Associated with Sălăgean Operator

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Arif ◽  
Khurshid Ahmad ◽  
Jin-Lin Liu ◽  
Janusz Sokół
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Coefficient Estimates ◽  
Inclusion Relation ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Distortion Bounds

The main object of the present paper is to investigate a number of useful properties such as inclusion relation, distortion bounds, coefficient estimates, and subordination results for a new subclass of analytic functions which are defined here by means of a linear operator. Several known consequences of the results are also pointed out.

scholarly journals Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials

2021 ◽  
Vol 53 (1) ◽  
pp. 49-66
Author(s):  
Trailokya Panigrahi ◽  
Susanta Kumar Mohapatra
Keyword(s):  
Differential Operator ◽  
Univalent Function ◽  
Chebyshev Polynomials ◽  
Univalent Functions ◽  
Coefficient Estimates ◽  
Coefficient Bounds ◽  
Varying Parameters ◽  
Function Classes ◽  
Sălăgean Operator ◽  
Salagean Operator

In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.

Neighbourhoods of certain p-valently analytic functions defined by using Salagean operator

2008 ◽  
Vol 41 (3) ◽  
Author(s):  
M. K. Aouf
Keyword(s):  
Analytic Functions ◽  
Coefficient Bounds ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Inclusion Relations

AbstractBy making use of the familiar concept of neighbourhood of analytic and p-valent functions, the author prove coefficient bounds and distortion inequalities and associated inclusion relations for the (

scholarly journals On univalent functions defined by a generalized Sălăgean operator

2004 ◽  
Vol 2004 (27) ◽  
pp. 1429-1436 ◽  
Author(s):  
F. M. Al-Oboudi
Keyword(s):  
Differential Operator ◽  
Univalent Functions ◽  
Extreme Points ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Inclusion Relations ◽  
Convolution Properties

We introduce a class of univalent functionsRn(λ,α)defined by a new differential operatorDnf(z),n∈ℕ0={0,1,2,…}, whereD0f(z)=f(z),D1f(z)=(1−λ)f(z)+λzf′(z)=Dλf(z),λ≥0, andDnf(z)=Dλ(Dn−1f(z)). Inclusion relations, extreme points ofRn(λ,α), some convolution properties of functions belonging toRn(λ,α), and other results are given.

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