Second-Order Toeplitz Determinant for Quasi-Convex Mappings
Complex Variables
2026-01-30 v1
Abstract
This paper presents sharp estimates for the second-order Toeplitz determinant whose entries are the coefficients of convex functions defined on the unit disk in . These estimates are further extended to a subclass of holomorphic mappings defined on the unit ball in a complex Banach space and on the unit polydisk in , which, as special cases, yield bounds for the classes of quasi-convex mappings of type .
Cite
@article{arxiv.2601.21290,
title = {Second-Order Toeplitz Determinant for Quasi-Convex Mappings},
author = {Surya Giri},
journal= {arXiv preprint arXiv:2601.21290},
year = {2026}
}