Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour

A. Martinez-Finkelshtein, R. Orive

Classical Jacobi polynomials $P_n^{(\alpha ,\beta )}$, with $\alpha ,\beta >-1$, have a number of well-known properties, in particular the location of their zeros in the open interval $(-1,1)$. This…