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    STUDIA MATHEMATICA - Issue no. 3 / 2015  
         
  Article:   SECOND HANKEL DETERMINANT FOR THE CLASS OF BAZILEVIC FUNCTIONS.

Authors:  .
 
       
         
  Abstract:  The objective of this paper is to obtain a sharp upper bound to the second Hankel determinant H2(2) for the function f when it belongs to the class of Bazilevic functions, using Toeplitz determinants. The result presented here include two known results as their special cases.

Mathematics Subject Classification (2010): 30C45, 30C50.

Keywords: Analytic function, Bazilevic function, upper bound, second Hankel functional, positive real function, Toeplitz determinants.
 
         
     
         
         
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