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Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions

2023/03/26 by Surya Giri, Giri, Surya, S. Sivaprasad Kumar +1
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.14712

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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