varying arguments
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2022 ◽  
Vol 40 ◽  
pp. 1-14
Author(s):  
Shigeyoshi Owa ◽  
Mohamed Kamal Aouf ◽  
Hanaa Zayed

In this paper we introduce and study new classes VM_{p,η}(λ,α,β) and VN_{p,η}(λ,α,β) of multivalent functions with varying arguments of coefficients. We obtain coefficients inequalities, distortion theorems and extreme points for functions in these classes. Also, we investigate several distortion inequalities involving fractional calculus. Finally, results on partial sums are considerd.


2019 ◽  
Vol 11 (2) ◽  
pp. 350-362
Author(s):  
Ágnes Orsolya Páll-Szabó

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.


Author(s):  
H. M. Zayed ◽  
◽  
M. K. Aouf ◽  
Maslina Darus ◽  
◽  
...  

2015 ◽  
Vol 7 (2) ◽  
pp. 278-286
Author(s):  
Ágnes Orsolya Páll-Szabó ◽  
Olga Engel

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.


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