English

On sharp third Hankel determinant for certain starlike functions

Complex Variables 2023-09-07 v3

Abstract

In this paper, we provide an estimation for the sharp bound of the third Hankel determinant of starlike functions of order α\alpha, where α\alpha ranges in the interval [0,1/6]{1/2}[0, 1/6]\cup \{1/2\} and thereby extending the result of Rath et al. (Complex Anal Oper Theory: No. 65, 16(5), 8 pp 2022).

Keywords

Cite

@article{arxiv.2211.14527,
  title  = {On sharp third Hankel determinant for certain starlike functions},
  author = {Neha Verma and S. Sivaprasad Kumar},
  journal= {arXiv preprint arXiv:2211.14527},
  year   = {2023}
}

Comments

The paper has been updated from the previous version

R2 v1 2026-06-28T07:13:30.517Z