On coefficient functional and Bohr-radius for some classes of analytic functions
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.
Authors
- Jeyaraman Muthusamy Palani (ORCID: https://orcid.org/0000-0002-0000-3303)
- Aaisha Farzana Habibullah (ORCID: https://orcid.org/0000-0003-4195-3708)
- Pushpa Raman
Institutions
- Presidency University (IN)
- Meenakshi Academy of Higher Education and Research (IN)
Publication Details
- Journal
- Ukrains’kyi Matematychnyi Zhurnal
- Published
- 2025-07-05
- DOI
- https://doi.org/10.3842/umzh.v77i5.8397
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00