On coefficient functional and Bohr-radius for some classes of analytic functions
DOI:
https://doi.org/10.3842/umzh.v77i5.8397Keywords:
Analytic functions, Zalcman functional, Hankel determinant, Toeplitz determinant, Hermitian-Toeplitz determinant,Bohr radius and Bohr-Rogosinski phenomenon.Abstract
UDC 517.5
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 obtained obtain the Bohr radius and the Bohr–Rogosinski phenomenon.
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The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 5, 2025.
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04.07.2025
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Copyright (c) 2025 Jeyaraman Muthusamy Palani, Parvatham Raman, Aaisha Farzana Habibullah

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How to Cite
Palani, Jeyaraman Muthusamy, et al. “On Coefficient Functional and Bohr-Radius for Some Classes of Analytic Functions”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 5, July 2025, p. 368, https://doi.org/10.3842/umzh.v77i5.8397.