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Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions

Published 26 Mar 2023 in math.CV | (2303.14712v1)

Abstract: In this study, we deal with the sharp bounds of certain Toeplitz determinants whose entries are the logarithmic coefficients of analytic univalent functions $f$ such that the quantity $z f'(z)/f(z)$ takes values in a specific domain lying in the right half plane. The established results provide the bounds for the classes of starlike and convex functions, as well as various of their subclasses.

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