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    STUDIA MATHEMATICA - Issue no. 2 / 2012  
         
  Article:   DISTORTION THEOREMS FOR CERTAIN SUBCLASSES OF TYPICALLY REAL FUNCTIONS.

Authors:  .
 
       
         
  Abstract:  

In this paper we discuss the class T (1/2) of typically real functions in

Three other classes: KR, S*R(1/2) and KR(i), consisting of convex functions, starlike functions of order 1/2 and convex in the direction of the imaginary axis, all with real coefficients, are contained in T (1/2). The main idea of the paper is to obtain some distorsion results concerning T (1/2) and apply them in solving analogous problems in KR, S*R(1/2), KR(i).

 

Mathematics Subject Classification (2010): 30C45, 30C25.

 

Keywords: Typically real functions, univalent functions, distortion theorems.

 
         
     
         
         
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