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A Sufficient Condition for Starlikeness of Analytic Functions of Koebe Type  
 
  Authors: Muhammet Kamali, Hari M. Srivastava,  
  Keywords: Differential inequalities, $n$-fold symmetric functions, analytic functions of Koebe type, starlike functions, strongly starlike functions, Jack's Lemma.  
  Date Received: 18/04/04  
  Date Accepted: 25/05/04  
  Subject Codes:

Primary 30C45; Secondary 30A10, 30C80.

 
  Editors: Themistocles M. Rassias,  
 
  Abstract:

By making use of Jack's Lemma as well as several differential and other inequalities (and parametric constraints), the authors derive sufficient conditions for starlikeness of a certain class of n-fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in earlier works are also indicated.;



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