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Zbl 0982.44001
Kim, Yong Chan; Rønning, Frode
Integral transforms of certain subclasses of analytic functions.
(English)
[J] J. Math. Anal. Appl. 258, No.2, 466-489 (2001). ISSN 0022-247X

For the class ${\cal A}$ of normalized analytic functions in the unit disk a special integral transform ${\cal V}_\lambda$ is defined. If the functions $f$ belong to a subclass of ${\cal A}$, conditions are presented such that ${\cal V}_\lambda(f)$ is starlike and belongs to another subclass of ${\cal A}$. Some examples are given in order to show the improvement of earlier results.
[A.L.Brodskij (Severodonetsk)]
MSC 2000:
*44A15 Special transforms

Keywords: starlike function; normalized analytic functions; integral transform

Cited in: Zbl 1172.30300

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