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

Authors

  • Jeyaraman Muthusamy Palani Department of Mathematics, Presidency College (Autonomous), Chennai, Tamil Nadu, India
  • Parvatham Raman Department of Mathematics, Presidency College (Autonomous), Chennai, Tamil Nadu, India
  • Aaisha Farzana Habibullah Department of Mathematics, A. M. Jain College, Meenambakkam, Chennai, Tamil Nadu, India

DOI:

https://doi.org/10.3842/umzh.v77i5.8397

Keywords:

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.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 5, 2025.

Published

04.07.2025

Issue

Section

Research articles

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.