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    STUDIA MATHEMATICA - Issue no. 1 / 2012  
         
  Article:   ON ANALYTIC FUNCTIONS WITH GENERALIZED BOUNDED VARIATION.

Authors:  NINGEGOWDA RAVIKUMAR.
 
       
         
  Abstract:  

In this paper we study a class introduced by Bhargava and Nanjunda Rao which unifies a number of classes studied previously by Mocanu and others. This class includes several known classes of analytic functions such as convex and starlike functions of order ╬▓, -convex functions, functions with bounded boundary rotation, bounded radius rotation and bounded Mocanu variation. Several interesting properties like inclusion results, arclength problem, coefficient bounds and distortion results of this class are discussed.

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

Keywords: Univalent functions with positive real part, bounded boundary andbounded radius rotation, arc length problems, convex functions starlike functions,alpha-convex function.

 
         
     
         
         
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