Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables
Abstract
This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions f in the unit disk such that f(z)-z has a zero of order k+1 at z=0. These bounds are further extended to starlike mappings defined on the unit ball in a complex Banach space and on bounded starlike circular domains in Cn. The derived results generalize several known bounds as special cases.
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