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  Volume 7, Issue 1, Article 37
 
Integral Means of Multivalent Functions

    Authors: H. O. Guney, S. Sümer Eker, Shigeyoshi Owa,  
    Keywords: Integral means, Multivalent function, Subordination, Starlike, Convex.  
    Date Received: 29/09/05  
    Date Accepted: 03/01/06  
    Subject Codes:

Primary 30C45.

 
    Editors: Nak Eun Cho,  
 
    Abstract:

For analytic functions $ f(z)$ and $ g(z)$ which satisfy the subordination $ f(z)  prec   g(z)$, J. E. Littlewood (Proc.London Math. Soc., 23 (1925), 481-519) has shown some interesting results for integral means of $ f(z)$ and $ g(z)$. The object of the present paper is to derive some applications of integral means by J.E. Littlewood and show interesting examples for our theorems. We also generalize the results of Owa and Sekine (J. Math. Anal. Appl., 304 (2005), 772-782).

         
       
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