The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 3 / 2011  
         
  Article:   SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH FOX-WRIGHT’S GENERALIZED HYPERGEOMETRIC FUNCTIONS BASED ON HILBERT SPACE OPERATOR.

Authors:  .
 
       
         
  Abstract:  

In this paper, we define a generalized class of starlike functions which are based upon some convolution operators on Hilbert space involving the Fox-Wright generalization of the classical hypergeometric pFq function (with p numerator and q denominator parameters). The various results presented in this paper include (for example) normed coefficient inequalities and estimates, distortion theorems, and the radii of convexity and starlikeness for each of the analytic function classes which are investigated here. Also we obtain modified Hadamard product and integral means results.

Mathematics Subject Classification (2010): 30C45.

Keywords: Analytic, univalent, starlikeness, convexity, Hadamard product (convolution) hypergeometric functions.

 
         
     
         
         
      Back to previous page