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    STUDIA MATHEMATICA - Issue no. 3 / 2010  
         
  Article:   ON ARGUMENT PROPERTY OF CERTAIN ANALYTIC FUNCTIONS.

Authors:  .
 
       
         
  Abstract:  In this paper we generalize the results of Libera and McGregor concerning argument property of analytic functions. We use the result in [3] to prove the following:
Theorem. Let be analytic in Δ, f(z) ≠ 0 in 0 < |z| < 1, and suppose that for some α, β (0 < α<1, 0<β < 1) in Δ, and that means subordination. Then we have

Key words and phrases.
Univalent functions, Argument property of analytic functions.
 
         
     
         
         
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