Journal
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
Volume 47, Issue 5, Pages 1513-1532Publisher
SPRINGER SINGAPORE PTE LTD
DOI: 10.1007/s41980-020-00456-9
Keywords
Analytic functions; Cosine functions; Radii problems
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This article discusses a class of normalized analytic functions, providing structural formulas, inclusion results, differential subordinations, and some radius problems for this class.
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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