On orthogonal polynomials with respect to varying measures on the unit circle
Author:
K. Pan
Journal:
Trans. Amer. Math. Soc. 346 (1994), 331-340
MSC:
Primary 42C05
DOI:
https://doi.org/10.1090/S0002-9947-1994-1273539-9
MathSciNet review:
1273539
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a system of orthonormal polynomials on the unit circle with respect to
and
be a system of orthonormal polynomials on the unit circle with respect to the varying measures
, where
is a sequence of polynomials,
, whose zeros
lie in
The asymptotic behavior of the ratio of the two systems on and outside the unit circle is obtained.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1994-1273539-9
Keywords:
Orthogonal polynomials,
asymptotic properties
Article copyright:
© Copyright 1994
American Mathematical Society