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<p>Pre-starlike functions hold a significant place in the theory of analytic functions, and various inequalities related to the coefficients of these functions play a critical role in understanding their geometric properties. In our work, Fekete-Szegö type coefficient inequalities are obtained for the class of pre-starlike functions. These results generalize some previously known properties of pre-starlike functions and present new inequalities valid for a broader class of these functions. Additionally, for the some special values of parameters several corollaries are presented.</p>

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The Fekete-Szegö Inequality for Prestarlike Functions Using Subordination

  • 期刊论文

  • 发表日期：

    2025年7月29日

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  • P. Gurusamy,
  • M. Çağlar,
  • S. Sivasubramanian,
  • M. Buyankara

摘要

Pre-starlike functions hold a significant place in the theory of analytic functions, and various inequalities related to the coefficients of these functions play a critical role in understanding their geometric properties. In our work, Fekete-Szegö type coefficient inequalities are obtained for the class of pre-starlike functions. These results generalize some previously known properties of pre-starlike functions and present new inequalities valid for a broader class of these functions. Additionally, for the some special values of parameters several corollaries are presented.