English

Toeplitz determinants on bounded starlike circular domain in $\mathbb{C}^n$

Complex Variables 2022-11-29 v1

Abstract

In this paper, we derive the sharp bounds of Toeplitz determinants for a class of holomorphic mappings on the bounded starlike circular domain Ω\Omega in Cn\mathbb{C}^n, which extend certain known bounds for various subclasses of normalized analytic univalent functions in the unit disk to higher dimensions.

Keywords

Cite

@article{arxiv.2211.14532,
  title  = {Toeplitz determinants on bounded starlike circular domain in $\mathbb{C}^n$},
  author = {Surya Giri and S. Sivaprasad Kumar},
  journal= {arXiv preprint arXiv:2211.14532},
  year   = {2022}
}
R2 v1 2026-06-28T07:13:31.115Z