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