Milutin Obradović, Nikola Tuneski
Published 2023-04-24Version 1
Let $\mathcal{U(\alpha, \lambda)}$, $0<\alpha <1$, $0 < \lambda <1$ be the class of functions $f(z)=z+a_{2}z^{2}+a_{3}z^{3}+\cdots$ satisfying $$\left|\left(\frac{z}{f(z)}\right)^{1+\alpha}f'(z)-1\right|<\lambda$$ in the unit disc ${\mathbb D}$. For $f\in \mathcal{U(\alpha, \lambda)}$ we give sharp bounds of its initial logarithmic coefficients $\gamma_{1},\,\gamma_{2},\,\gamma_{3}.$
On the difference of initial logarithmic coefficients for the class of univalent functions
On the difference of the moduli of the two initial logarithmic coefficients
On the initial coefficients for certain class of functions analytic in the unit disc
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