The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

A. B. J. Kuijlaars, K. T-R McLaughlin, W. Van Assche +1

We consider polynomials that are orthogonal on $[-1,1]$ with respect to a modified Jacobi weight $(1-x{)}^{\alpha }(1+x{)}^{\beta }h(x)$, with $\alpha ,\beta >-1$ and $h$ real analytic and stricly positive on $…