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Hermitian Toeplitz determinants for the inverse of several univalent functions
Journal of Capital Normal University (Natural Science Edition) 2025, 46(4): 45-49
Published: 01 August 2025
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Let A denote the class of functions f of form f ( z ) = z + n = 2 a n z n , which are analytic in the unit disk Δ = { z : | z | < 1 }. Let S ( K, R T and T resp.) denote the class of functions f A such that R e { z f ( z ) f ( z ) } > 0 ( R e { 1 + z f ( z ) f ( z ) } > 0, R e { f ( z ) } > 0 and R e { f ( z ) z } > 0 resp.) in Δ. In the present paper, we determine the sharp bounds for | T 2 , 1 ( f 1 ) | , | T 3 , 1 ( f 1 ) | for functions f in the classes S , K, R T and T.

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