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Title: Fekete-Szegö Inequality and Radius Estimate for Certain Subclasses of Analytic Functions of Complex Order Associated with the Sine Function
Authors: Aijaz Ahmed Bhatti, Abdul Wasim Shaikh, Shujaat Ali Shah, Sulaiman Awwal Akinwunmi
Journal: Proceedings of the Pakistan Academy of Sciences: A
Publisher: "Physical And Computational Sciences. Pakistan Academy of Sciences."
Country: Pakistan
Year: 2025
Volume: 62
Issue: 3
Language: en
Keywords: Subordinationanalytic functionsCoefficient boundsFekete-Szegö ProblemRadius ProblemSine Function
In the present work, using suboridination techniques, we study certain subclasses of analytic univalent functions of complex order associated with the sine function. The sharp coefficient bounds and the sharp Fekete-Szegö inequality are obtained for these subclasses. Additionally, a sharp radius result is also derived for a certain subclass of Janowski starlike functions. These results generalize several known results as special cases and contribute to the broader theory of univalent functions.
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