Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions
Surya Giri, S. Sivaprasad Kumar
TL;DR
This paper derives sharp bounds for Toeplitz determinants associated with holomorphic mappings in higher dimensions, extending known results for subclasses of univalent functions in complex Banach spaces and polydiscs.
Contribution
It establishes new sharp bounds for Toeplitz determinants in higher-dimensional settings, broadening the understanding of coefficient estimates for holomorphic mappings.
Findings
Sharp bounds for Toeplitz determinants in higher dimensions
Extensions of known results for univalent function subclasses
New coefficient estimates for mappings in complex Banach spaces
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 . 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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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic and geometric function theory · Holomorphic and Operator Theory