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arXiv · 2601.03039

Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables

Surya Giri·S. Sivaprasad Kumar
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Abstract

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.

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Surya Giri, S. Sivaprasad Kumar. 2026-01-06. Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables. https://arxiv.org/abs/2601.03039

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