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arXiv · 2601.21290

Second-Order Toeplitz Determinant for Quasi-Convex Mappings

Surya Giri
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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 $\mathbb{C}$. 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 $\mathbb{C}^n$, which, as special cases, yield bounds for the classes of quasi-convex mappings of type $B$.

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Surya Giri. 2026-01-29. Second-Order Toeplitz Determinant for Quasi-Convex Mappings. https://arxiv.org/abs/2601.21290

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