Toeplitz determinant and generalized Zalcman conjecture for subclasses of starlike mappings in higher dimensions

Surya Giri

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arXiv · 2608.16562

Toeplitz determinant and generalized Zalcman conjecture for subclasses of starlike mappings in higher dimensions

Surya Giri

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Abstract

In this manuscript, we establish sharp bounds of the third-order Toeplitz determinant and a particular case of the generalized Zalcman functional for a class of holomorphic mappings defined on the unit ball in a complex Banach space. The obtained estimates yield corresponding bounds for several subclasses of starlike mappings as special cases and also provide higher-dimensional extensions of certain known results from the classical one-dimensional theory.

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Surya Giri. 2026-08-17. Toeplitz determinant and generalized Zalcman conjecture for subclasses of starlike mappings in higher dimensions. https://arxiv.org/abs/2608.16562

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