Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle

A. Martinez-Finkelshtein, K. T. -R. McLaughlin, E. B. Saff

Strong asymptotics of polynomials orthogonal on the unit circle with respect to a weight of the form $$ W(z) = w(z) \prod_{k=1}^m |z-a_k|^{2β_k}, \quad |z|=1, \quad |a_k|=1, \quad…