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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Published in:Bulletin of the Iranian Mathematical Society 2021-10, Vol.47 (5), p.1513-1532
Main Authors: Bano, Khadija, Raza, Mohsan
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Language:English
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Mathematics and Statistics
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description 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.
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Original Paper
title Starlike Functions Associated with Cosine Functions
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