Asymptotics of type I Hermite-Padé polynomials for semiclassical functions

Andrei Martínez-Finkelshtein, Evgenii A. Rakhmanov, Sergeiy P. Suetin

Type I Hermite--Padé polynomials for a set of functions $f_0,f_1,...,f_s$ at infinity, $Q_{n,0}$, $Q_{n,1}$, ..., $Q_{n,s}$, is defined by the asymptotic condition $$ R_n(z):=\b…