Asymptotics for orthogonal polynomials off the circle

[摘要] We study the strong asymptotics of orthogonal polynomials withrespect to a measure of the typedμ/2π+∑j=1∞Ajδ(z−zk), whereμis apositive measure on the unit circleΓsatisfying theSzegö condition and{zj}j=1∞are fixed points outsideΓ. The masses{Aj}j=1∞are positive numbers such that∑j=1∞Aj<+∞. Our main result is the explicit strong asymptotic formulas for the correspondingorthogonal polynomials.

[学科分类] 应用数学