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Neighbourhoods of a certain subclass of uniformly starlike functions

DOI: 10.5556/j.tkjm.43.2012.587-594

Keywords: Neighbourhood , Subordination , Hadamard Product

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Abstract:

In this paper, we introduced new subclasses $UCV_S(alpha,eta)$ and $SP_S(alpha,eta)$ which are sub classes of $UCV(alpha,eta)$ and $SP(alpha, eta)$ and studied the $T$ - $delta$ neighbourhoods of functions in these classes. The results obtained in this paper generalizes the recent results of Parvatham and Premabai[5], Ram Reddy and Thirupathi Reddy[6,7], Padmanabhan[4], and Ronning[8].

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