scholarly journals On Janowski type p-harmonic functions associated with generalized Sǎlǎgean operator

2021 ◽  
Vol 6 (1) ◽  
pp. 569-583
Author(s):  
Shuhai Li ◽  
◽  
Lina Ma ◽  
Huo Tang
Keyword(s):  
Harmonic Functions ◽  
Type I ◽  
Sălăgean Operator ◽  
Salagean Operator

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 Classes of harmonic functions defined by extended Sălăgean operator

2021 ◽  
Vol 73 (1) ◽  
pp. 33-46
Author(s):  
J. Dziok
Keyword(s):  
Harmonic Functions ◽  
Extreme Points ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Distortion Theorems

UDC 517.57 The object of the present paper is to investigate classes of harmonic functions defined by the extended Sălăgea operator. By using the extreme points theory we obtain coefficients estimates and distortion theorems for these classes of functions. Some integral mean inequalities are also pointed out.  

ON A SUBCLASS OF ANALYTIC FUNCTIONS WITH FIXED FINITELY MANY COEFFICIENTS BASED ON SALAGEAN OPERATOR AND MODIFIED SIGMOID FUNCTION

2021 ◽  
Vol 10 (6) ◽  
pp. 2807-2820
Author(s):  
M.O. Oluwayemi ◽  
Olubunmi A. Fadipe Joseph ◽  
Sh. Najafzadeh
Keyword(s):  
Analytic Functions ◽  
Sigmoid Function ◽  
Geometric Properties ◽  
New Family ◽  
Sălăgean Operator ◽  
Salagean Operator

A new family of analytic functions involving sigmoid function defined as $ T_\gamma(\lambda, \beta, \alpha, \mu, c_m)\subset T_\gamma(\lambda, \beta, \alpha, \mu)$ are established. Certain geometric properties of the class are obtained.

Properties of the Salagean Operator

1998 ◽  
Vol 5 (4) ◽  
pp. 361-366
Author(s):  
Li Jian Lin ◽  
Shigeyoshi Owa
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sălăgean Operator ◽  
Salagean Operator

Abstract The object of the present paper is to show the properties of the Salagean operator for analytic functions in the open unit disk. The main results obtained here extend and improve the earlier results obtained by several authors.

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