Some Properties for Certain Class of Analytic Functions Defined by Convolution with Varying Arguments

2013 ◽  
Vol 5 (2) ◽  
pp. 20-30
Author(s):  
A. O. Mostafa ◽  
M. K. Aouf ◽  
A. Shamandy ◽  
E.A Adwan
Keyword(s):  
Analytic Functions ◽  
Varying Arguments

scholarly journals Certain New Classes of Analytic Functions with Varying Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
R. M. El-Ashwah ◽  
M. K. Aouf ◽  
A. A. M. Hassan ◽  
A. H. Hassan
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Extreme Points ◽  
Starlike Functions ◽  
Uniformly Convex ◽  
Uniformly Convex Functions ◽  
Distortion Theorems ◽  
Uniformly Starlike Functions ◽  
Uniformly Starlike ◽  
Varying Arguments

We introduce certain new classes κ−VST(α,β) and κ−VUCV(α,β), which represent the κ uniformly starlike functions of order α and type β with varying arguments and the κ uniformly convex functions of order α and type β with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.

scholarly journals On Certain Subclasses of Analytic Functions with Varying Arguments of Coefficients

2018 ◽  
Vol 23 ◽  
pp. 80-95
Author(s):  
H. M. Zayed ◽  
◽  
M. K. Aouf ◽  
Maslina Darus ◽  
◽  
...  
Keyword(s):  
Analytic Functions ◽  
Varying Arguments

scholarly journals Certain Class of Analytic Functions Defined by Ruscheweyh Derivative with Varying Arguments

2014 ◽  
Vol 54 (3) ◽  
pp. 453-461
Author(s):  
Rabha Mohamed El-Ashwah ◽  
Mohamed Kamal Aouf ◽  
Ahmed Hassan ◽  
Alaa Hassan
Keyword(s):  
Analytic Functions ◽  
Ruscheweyh Derivative ◽  
Varying Arguments

scholarly journals Some Properties for Certain Class of Analytic Functions with Varying Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
M. K. Aouf ◽  
A. O. Mostafa ◽  
A. Shamandy ◽  
E. A. Adwan
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Extreme Points ◽  
Open Unit ◽  
Coefficient Estimates ◽  
Open Unit Disc ◽  
New Class ◽  
Salagean Operator ◽  
Distortion Theorems ◽  
Varying Arguments

We introduce a new class of analytic functions with varying arguments in the open unit disc defined by the Salagean operator. The object of the present paper is to determine coefficient estimates, extreme points, and distortion theorems for functions belonging to the class .

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