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Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation

✍ Scribed by Nak Eun Cho; Ji A. Kim

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
333 KB
Volume
52
Category
Article
ISSN
0898-1221

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✦ Synopsis

A denote the class of analytic functions with the normalization f(0) = f' (0)-1 = 0 in the open unit disk L/, set s:,(~) = ~ + ~ ~,~--~) z k (s ~ ~; ~ > -:;. ~ u), and define f~:~,, in terms of the Hadamard product z z = (t~ > 0; z E hi).

A( ) * fL.(z) "(1 -z)~

In this paper, the authors introduce several new subclasses of analytic functions defined by means of the operator IJ,~ : ~4 --+ .4, given by

Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

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