Strong asymptotics for Jacobi polynomials with varying nonstandard parameters

A. B. J. Kuijlaars, A. Martinez-Finkelshtein

Strong asymptotics on the whole complex plane of a sequence of monic Jacobi polynomials $P_n^{({\alpha }_n,{\beta }_n)}$ is studied, assuming that $$ \lim_{n\to\infty} \frac{α_n}{n}=A, \qquad \l…