Fekete-Szegö Inequality and Radius Estimate for Certain Subclasses of Analytic Functions of Complex Order Associated with the Sine Function

Authors

  • Aijaz Ahmed Bhatti Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Pakistan
  • Abdul Wasim Shaikh Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Pakistan
  • Shujaat Ali Shah Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
  • Sulaiman Awwal Akinwunmi Department of Mathematics and Statistics, Federal University of Kashere, Gombe, Nigeria

DOI:

https://doi.org/10.53560/PPASA(62-3)700

Keywords:

Analytic Functions, Coefficient Bounds, Fekete-Szegö Problem, Radius Problem, Sine Function, Subordination

Abstract

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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Published

2025-09-25

How to Cite

Bhatti, A. A., Abdul Wasim Shaikh, Shujaat Ali Shah, & Sulaiman Awwal Akinwunmi. (2025). Fekete-Szegö Inequality and Radius Estimate for Certain Subclasses of Analytic Functions of Complex Order Associated with the Sine Function. Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, 62(3), 263–270. https://doi.org/10.53560/PPASA(62-3)700

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Research Articles

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