High order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets

Steven Delvaux, Abey López García

We study monic polynomials $Q_n(x)$ generated by a high order three-term recursion $x{Q}_n(x)=Q_{n+1}(x)+a_{n-p}{Q}_{n-p}(x)$ with arbitrary $p\ge 1$ and $a_n>0$ for all $n$. The rec…