Work

On coefficient functional and Bohr-radius for some classes of analytic functions

Year: 2025

Type: article

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 obtain the Bohr radius and the Bohr–Rogosinski phenomenon.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v77i5.8397

Authors: Jeyaraman Muthusamy Palani, Parvatham Raman, Aaisha Farzana Habibullah

Institution: Presidency College

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412048323

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