On sets of values of initial coefficients in the class of meromorphic functions with the bounded boundary rotation

A description of the range of system $(a_1,a_2,\dots,a_n)$ is given in class $\Lambda_k$ $(k\geq2)$ of functions $f(z)=z^{-1}+\sum^\infty_{n=0}a_nz^n$, regular in $0<|z|<1$, $f^\prime(z)\ne0$, mapping $|z|<1$ onto a domain with boundary rotation $\alpha\leq k\pi$. For this one makes use of the representation of functions of class $\Lambda_k$ in terms of functions of the Caratheodory class.