UNIFORM SUBEXPONENTIAL GROWTH OF ORTHOGONAL POLYNOMIALS

[摘要] We show that if orthonormal polynomials p(n) 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. Theory 67, 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). (C) 1995 Academic Press, Inc.

[发布日期] 1995-05-01