Viskovatov algorithm for Hermite-Padé polynomials

N. R. Ikonomov, S. P. Suetin

We propose an algorithm for producing Hermite-Padé polynomials of type I for an arbitrary tuple of $m+1$ formal power series $[f_0,\dots ,f_m]$, $m\ge 1$, about $z=0$ ($f_j\in{\math…