Journal of Applied Mathematics
Volume 2004 (2004), Issue 1, Pages 37-53
doi:10.1155/S1110757X04304092
Abstract
We study the strong asymptotics of orthogonal polynomials with
respect to a measure of the type dμ/2π+∑j=1∞Ajδ(z−zk), where μ is a
positive measure on the unit circle Γ satisfying the
Szegö condition and {zj}j=1∞ are fixed points outside Γ. The masses {Aj}j=1∞ are positive numbers such that ∑j=1∞Aj<+∞. Our main result is the explicit strong asymptotic formulas for the corresponding
orthogonal polynomials.