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 Properties of certain class of analytic functions with varying arguments defined by Ruscheweyh derivative

2015 ◽  
Vol 7 (2) ◽  
pp. 278-286
Author(s):  
Ágnes Orsolya Páll-Szabó ◽  
Olga Engel
Keyword(s):  
Analytic Functions ◽  
Ruscheweyh Derivative ◽  
Varying Arguments

Abstract In the paper are studied the properties of the image of a class of analytic functions defined by the Ruscheweyh derivative trough the Bernardi operator.

scholarly journals Modified Hadamard product properties of certain class of analytic functions with varying arguments defined by the convolution of Sǎlǎgean and Ruscheweyh derivative

2019 ◽  
Vol 11 (2) ◽  
pp. 350-362
Author(s):  
Ágnes Orsolya Páll-Szabó
Keyword(s):  
Analytic Functions ◽  
Hadamard Product ◽  
Ruscheweyh Derivative ◽  
Varying Arguments

Abstract In this paper we study the Hadamard product properties of certain class of analytic functions with varying arguments defined by the convolution of Sǎlǎgean and Ruscheweyh derivative. The obtained results are sharp and they improve known results.

Results of differential subordination for a unified subclass of analytic functions defined using generalized Ruscheweyh derivative operator

2019 ◽  
Vol 12 (03) ◽  
pp. 1950035
Author(s):  
Ritu Agarwal ◽  
G. S. Paliwal ◽  
Parany Goswami
Keyword(s):  
Analytic Functions ◽  
Differential Subordination ◽  
Derivative Operator ◽  
Sandwich Theorem ◽  
Ruscheweyh Derivative Operator ◽  
Ruscheweyh Derivative ◽  
Principle Of Subordination ◽  
Coefficient Inequalities ◽  
Distortion Theorems

In this paper, we introduce a unified subclass of analytic functions by making use of the principle of subordination, involving generalized Ruscheweyh Derivative operator [Formula: see text]. The properties such as inclusion relationships, distortion theorems, coefficient inequalities and differential sandwich theorem for the above class have been discussed.

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