Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros

Franz Peherstorfer

Let $E={\cup }_{j=1}^l[a_{2j-1},a_{2j}],$ $a_1<a_2<...<a_{2l},$ $l\ge 2$ and set ${\boldmath$ω$}(\infty) =(ω_1(\infty),...,ω_{l-1}(\infty))$, where ${\omega }_j(\infty )$ is the h…