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arXiv · 2210.13467

Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions

Surya Giri·S. Sivaprasad Kumar
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Abstract

In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of mappings from a class defined on the unit ball of complex Banach space and on the unit polydisc in $\mathbb{C}^n$. Derived bounds provide certain new results for the subclasses of normalized univalent functions and extend some known results in higher dimensions.

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Surya Giri, S. Sivaprasad Kumar. 2022-10-24. Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions. https://arxiv.org/abs/2210.13467

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