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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 14 > No. 6

 
   

Coefficients Bounds of Multivalent Function Connected with q-Analogue of Salagean Operator

PP: 1057-1065
doi:10.18576/amis/140613
Author(s)
Sheza M. El-Deeb, Bassant M. El-Matary,
Abstract
Using q-analogue of Salagean operator, we investigate subclass of multivalent functions in the open unit disk ∆ . We obtain 􏰕 z(Dq(Dn f(z)) 􏰖 Fekete-Szego ̋ inequalities for a certain class of analytic functions f satisfying 1 + 1 1 p,q − 1 ≺ Υ (z). Applications of ζ [ p ] q D pn , q f ( z ) our results to certain functions defined by convolution products with a normalized analytic function are given. Moreover, Fekete-Szego ̋ inequalities for certain subclasses of functions defined through Poisson distribution are obtained.

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