Second-Order Toeplitz Determinant for Quasi-Convex Mappings
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 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 Cn, which, as special cases, yield bounds for the classes of quasi-convex mappings of type B.
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