Towards computation of surface area of Schur stability domain

The paper considers the subset of the Schur stability domain, namely, the set of parameters for which the roots of polynomials of degree $n$ lie in the complex unit disc and are real numbers. The method for computation of the hypersurface area of this defined set in $n$-dimensional space is obtained. The maximum surface area of this set is reached for $n=3$, i.e., $3$-dimensional set has maximum surface area.