Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables

Fuente: arXiv
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Main Authors: Giri, Surya, Kumar, S. Sivaprasad
Format: Preprint
Published: 2026
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author Giri, Surya
Kumar, S. Sivaprasad
author_facet Giri, Surya
Kumar, S. Sivaprasad
contents This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions $f$ in the unit disk such that $f(z)-z$ has a zero of order $k+1$ at $z=0$. 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 $\mathbb{C}^n$. The derived results generalize several known bounds as special cases.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03039
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables
Giri, Surya
Kumar, S. Sivaprasad
Complex Variables
This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions $f$ in the unit disk such that $f(z)-z$ has a zero of order $k+1$ at $z=0$. 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 $\mathbb{C}^n$. The derived results generalize several known bounds as special cases.
title Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables
topic Complex Variables
url https://arxiv.org/abs/2601.03039