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    STUDIA MATHEMATICA - Issue no. 3 / 2010  
         
  Article:   AN APPLICATION OF MILLER AND MOCANU LEMMA.

Authors:  . 		 
       
         
  Abstract:  Let H[a, n] be the class of functions f(z) = a + anzn + ...  which are analytic in the open unit disk U. For f(z) Є H[a, n], S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65(1978), 289-305) have shown Miller and Mocanu lemma which is the generalization of Jack lemma by I. S. Jack (J. London Math. Soc. 3(1971), 469-474). Applying Miller and Mocanu lemma, an interesting property for f(z) Є H[a, n] and an example are discussed.

Key words and phrases. Analytic, univalent, Jack’s lemma, Miller and Mocanu lemma. 		 
         
     
         
         
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