4 problems

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 $\mathcal{F}$ be the family of locally univalent functions $f\in\mathcal{A}$ satisfying the condition referred to in the source, and let a section mean a partial sum of the Tay…

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…

Let ${\mathcal{F}}$ be the class of locally univalent functions $f$ in ${\mathcal A}$ satisfying … For $f(z)=z+\sum_{k=2}^{\infty}a_kz^k$, let $s_n(f)(z)=z+\sum_{k=2}^{n}a_kz^k$ be…