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    STUDIA MATHEMATICA - Issue no. 2 / 2016  
         
  Article:   ON A SUBCLASS OF ANALYTIC FUNCTIONS FOR OPERATOR ON A HILBERT SPACE.

Authors:  SANTOSH B. JOSHI.
 
       
         
  Abstract:   In this paper we introduce and study a subclass of analytic functionsfor operators on a Hilbert space in the open unit disk U = {ΠCú zú < 1}.
We have established coefficient estimates, distortion theorem for this subclass, and also an application to operators based on fractional calculus for this class isinvestigated.

Mathematics Subject Classi fication (2010): 30C45.

Keywords: Univalent function, coefficient estimates, distortion theorem.
 
         
     
         
         
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