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    STUDIA MATHEMATICA - Issue no. 2 / 2017  
         
  Article:   SCHWARZIAN DERIVATIVE AND JANOWSKI CONVEXITY.

Authors:  NISHA BOHRA, V. RAVICHANDRAN.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2017.2.06

Published Online: 2017-06-15
Published Print: 2017-06-30
pp. 197-204
VIEW PDF: SCHWARZIAN DERIVATIVE AND JANOWSKI CONVEXITY

Sufficient conditions relating the Schwarzian derivative to the Janowski convexity of a normalized analytic function f are obtained. As a consequence, sufficient conditions are determined for the function f to be Janowski convex and convex of order α. Also, some equivalent sharp inequalities are proved for f to be Janowski convex.

Mathematics Subject Classification (2010): 30C45, 30C80.
Keywords: Schwarzian derivative, Janowski convexity, subordination.
 
         
     
         
         
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