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Sharp bounds on the fourth-order Hermitian Toeplitz determinant for starlike functions of order 1/2

Yong Sun, Zhi-Gang Wang and Huo Tang · 2023 📄 DOI →

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Abstract

In this paper, we prove the sharp bounds on the fourth-order Hermitian Toeplitz deter- minant for starlike functions of order 1/2, which solves a conjecture posed by Cudna et al. [10] for the case q = 4. Mathematics subject classification (2020): 30C55, 30C45.

Function classes studied:
close-to-convex

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