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    STUDIA MATHEMATICA - Issue no. 2 / 2018  
         
  Article:   RADII OF HARMONIC MAPPING WITH FIXED SECOND COEFFICIENTS IN THE PLANE.

Authors:  RASOUL AGHALARY, ALI MOHAMMADIAN.
 
       
         
  Abstract:  In this paper, we investigate the radii problem for harmonic functions with a fixed coefficient and determine the radii of univalence, stable starlikness, stable convexity, fully starlikness and fully convexity of order ╬▒ for these type of functions. All results are sharp. Also these results generalize and improve some results in the literature.

Mathematics Subject Classification (2010): 30C45, 30C80.

Keywords: Stable starlike functions, stable univalent function, stable convex function, radii problem.
 
         
     
         
         
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