Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables
Complex Variables
2026-01-07 v1
Abstract
This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions in the unit disk such that has a zero of order at . These bounds are further extended to starlike mappings defined on the unit ball in a complex Banach space and on bounded starlike circular domains in . The derived results generalize several known bounds as special cases.
Cite
@article{arxiv.2601.03039,
title = {Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables},
author = {Surya Giri and S. Sivaprasad Kumar},
journal= {arXiv preprint arXiv:2601.03039},
year = {2026}
}