Sharp bounds of logarithmic coefficients for a class of univalent functions

Abstract

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.