Starlike Functions Associated with Cosine Functions

Let S cos ∗ denote the class of normalized analytic functions f such that z f ′ ( z ) f ( z ) ≺ cos ( z ) . For this class, we obtain structural formula, inclusion results, differential subordinations and some radii problems such as radius of convexity, radius for the class of Janowski starlike func...

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Bibliographic Details
Published in:Bulletin of the Iranian Mathematical Society 2021-10, Vol.47 (5), p.1513-1532
Main Authors: Bano, Khadija, Raza, Mohsan
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Let S cos ∗ denote the class of normalized analytic functions f such that z f ′ ( z ) f ( z ) ≺ cos ( z ) . For this class, we obtain structural formula, inclusion results, differential subordinations and some radii problems such as radius of convexity, radius for the class of Janowski starlike functions and radius for some other subclasses of starlike functions.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00456-9