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    STUDIA MATHEMATICA - Issue no. 3 / 2011  
         
  Article:   SOME MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY USING A CERTAIN FRACTIONAL DERIVATIVE OPERATOR.

Authors:  MOHAMED KAMAL AOUF.
 
       
         
  Abstract:  

In this paper we investigate the various important propertiesand characteristics of the subclasses Sn(p, q, α,  λ) and Cn(p, q, α,  λ) of multivalent functions with negative coefficients defined by using a certain operator of fractional derivatives. We also derive many results for the modified Hadamard products of functions belonging to the classes Sn(p, q, α,  λ) and Cn(p, q, α,  λ). Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.

Mathematics Subject Classification (2010): 30C45.

Keywords: Multivalent functions, differential operator, modified-Hadamard product, fractional calculus.

 
         
     
         
         
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