Abstract :
We show that if orthonormal polynomials pn have asymptotically periodic recurrence coefficients, then they have uniform subexponential growth on the support of orthogonalizing measure. This is an alternative proof of results of P. Nevai, V. Totik, and J. Zhang (J. Approx. Theory67, 1991, 215-234), D. S. Lubinsky and P. Nevai (J. London Math. Soc.46, 1992, 149-160), and J. Zhang (Linear Algebra Appl.186, 1993, 97-115).
