Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient

Pavel Gumenyuk, Ikkei Hotta

We investigate univalent functions $f(z)=z+a_2{z}^2+a_3{z}^3+\dots$ in the unit disk $\mathbb{D}$ extendible to $k$-q.c.(=quasiconformal) automorphisms of $\mathbb{C}$. In particular, w…