8 problems

Logarithmic coefficient bound. The inequality

Logarithmic-coefficient conjecture. For every $f\in\mathcal{S}_{ch}^*$ and every $n\in\mathbb{N}$,

Let $\mathcal{S}_e^{\ast}$ be the class of functions $f(z)=z+a_2z^2+a_3z^3+\cdots$ satisfying … and write … The coefficients $\gamma_n$ are the logarithmic coefficients of $f$. Log…

Let $\mathcal{S}$ denote the class of normalized univalent functions on the unit disk, and write … Here $\gamma_n$ are the logarithmic coefficients of $f$. Miliin's conjecture. For…

Ponnusamy's conjecture. The logarithmic coefficients satisfy

The logarithmic coefficient conjecture. For every $f\in{\mathcal G}$,

Let $\mathcal{K}_0$ denote the class of close-to-convex functions with argument $0$, and let $\gamma_n$ be their logarithmic coefficients. Ali–Vasudevarao conjecture. The sharp bou…

Let $K$ denote the class of close-to-convex functions, and let $\gamma_3$ be defined by … In the estimate for $|\gamma_3|$, assume that the coefficient $b_2$ is real. Thomas's conj…