On subordination for certain subclass of analytic functions

In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|<1} and satisfy the condition |f′(z)+αzf″(z)−1|<M is introduced. By using the method of differential subordination the properties of the class Pα[α,M] are discuss...

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Bibliographic Details
Main Author: Liu Jinlin
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129700029X
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