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Integral transforms of certain subclasses of analytic functions. (English) Zbl 0982.44001
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.

44A15Special transforms (Legendre, Hilbert, etc.)
Full Text: DOI
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