Multivalent Functions with Varying Arguments

Faculty Science Year: 2013
Type of Publication: ZU Hosted Pages: 9-17
Authors:
Alaa Hassan Attia Hassan
Journal: International Journal of Open Problems in Complex Analysis International Center for Scientific Research and Studies, Irbid, Jordan Volume:
Keywords : Multivalent Functions with Varying Arguments    
Abstract:
Silverman [4] was defined the class of univalent functions f(z)=z+∑_{k=2}^{∞}a_{k}z^{k} for which arg(a_{k}) prescribed in such way that f(z) is univalent if and only if f(z) is starlike. In this paper we introduce the subclass of p-valent
   
     
 
       

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