Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions
Complex Variables
2023-06-21 v1
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.
Keywords
Cite
@article{arxiv.2210.13467,
title = {Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions},
author = {Surya Giri and S. Sivaprasad Kumar},
journal= {arXiv preprint arXiv:2210.13467},
year = {2023}
}