Computation of the Schläfli function

In this work a method for numerical computation of the Schläfli function $f_n(x)$, for $x\in [n-1,n+1]$ and $n\ge 4$ is presented. The computation is based on the Chebyshev approximation of the function $q_n(x)$, which is related to the Schläfli function and regular in the interval.