Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc
    
    
  
  
  
      
      
      
        
Vladikavkazskij matematičeskij žurnal, Tome 8 (2006) no. 2, pp. 50-53
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			Nehari norm of the Schwarzian derivative of an analytic function is closely related to its univalence. The famous Nehari-Kraus theorem ([3], [4]) and Ahlfors-Weill theorem [1] are of fundamental importance in this direction. For a non-constant meromorphic function $f$ on $D$ the unite disc, the Schwarzian derivative $S_f$ of $f$ by is holomorphic at $z_0\in D$ if and only if $f$ is locally univalent at $z_0$. The aim of this paper is to give sharp estimates of the Nehari norm for the subclasses of convex functions in the unit disc.
			
            
            
            
          
        
      @article{VMJ_2006_8_2_a6,
     author = {Y. Polatoglu and M. Caglar and A. Sen},
     title = {Inequalities for the {Schwarzian} derivative for subclasses of convex functions in the unit disc},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {50--53},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2006_8_2_a6/}
}
                      
                      
                    TY - JOUR AU - Y. Polatoglu AU - M. Caglar AU - A. Sen TI - Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc JO - Vladikavkazskij matematičeskij žurnal PY - 2006 SP - 50 EP - 53 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2006_8_2_a6/ LA - en ID - VMJ_2006_8_2_a6 ER -
%0 Journal Article %A Y. Polatoglu %A M. Caglar %A A. Sen %T Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc %J Vladikavkazskij matematičeskij žurnal %D 2006 %P 50-53 %V 8 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2006_8_2_a6/ %G en %F VMJ_2006_8_2_a6
Y. Polatoglu; M. Caglar; A. Sen. Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc. Vladikavkazskij matematičeskij žurnal, Tome 8 (2006) no. 2, pp. 50-53. http://geodesic.mathdoc.fr/item/VMJ_2006_8_2_a6/