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Uniform Subexponential Growth of Orthogonal Polynomials

โœ Scribed by R. Szwarc

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
211 KB
Volume
81
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

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.

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