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<p>We examine sharp bounds of coefficient functionals, such as Zalcman functional, second-order Hankel determinant, and third-order Toeplitz and Hermitian–Toeplitz determinants for the class of analytic functions. Growth estimates and bounds for the difference of successive coefficients are determined. Further, by using growth estimates, we obtain the Bohr radius and the Bohr–Rogosinski phenomenon.</p>

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On Coefficient Functional and Bohr-Radius for Some Classes of Analytic Functions

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • Jeyaraman Muthusamy Palani,
  • Parvatham Raman,
  • Aaisha Farzana Habibullah

摘要

We examine sharp bounds of coefficient functionals, such as Zalcman functional, second-order Hankel determinant, and third-order Toeplitz and Hermitian–Toeplitz determinants for the class of analytic functions. Growth estimates and bounds for the difference of successive coefficients are determined. Further, by using growth estimates, we obtain the Bohr radius and the Bohr–Rogosinski phenomenon.