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Sharp bounds of logarithmic coefficients for a class of univalent functions

Journal
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
Date Issued
2024-09-03
Author(s)
Obradovic, M.
Tuneski, N.
DOI
10.31926/but.mif.2024.4.66.2.14
Abstract
<jats:p>Let U(α, λ), 0 < α < 1, 0 < λ < 1, be the class of functions f(z) = z + a2z2 + a3z3 + ・ ・ ・ satisfying |(z/f(z))1+α f ′(z) − 1|< λ in the unit disc D. For f ∈ U(α, λ) we give sharp bounds of its initial logarithmic coefficients γ1, γ2, γ3.</jats:p>
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