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<p>In this investigation, we derive Fekete–Szegè inequalities and upper bounds for the second Hankel determinant for a new subclass of analytic functions in the open unit disk formed by the close-to-convex functions and the Salagean derivative operator. Additionally, there is discussion of a number of intriguing applications of the findings given here.</p>

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Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator

  • 期刊论文

  • 发表日期：

    2026年3月11日

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  • Halit Orhan,
  • Hava Arıkan,
  • Ebru Başıbüyük

摘要

In this investigation, we derive Fekete–Szegè inequalities and upper bounds for the second Hankel determinant for a new subclass of analytic functions in the open unit disk formed by the close-to-convex functions and the Salagean derivative operator. Additionally, there is discussion of a number of intriguing applications of the findings given here.