Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Orthogonal polynomials on the unit circle associated with the Laguerre polynomials

Author(s): Li-Chien Shen
Journal: Proc. Amer. Math. Soc. 129 (2001), 873-879.
MSC (2000): Primary 33C47
Posted: October 11, 2000
MathSciNet review: 1802005
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Abstract:

Using the well-known fact that the Fourier transform is unitary, we obtain a class of orthogonal polynomials on the unit circle from the Fourier transform of the Laguerre polynomials (with suitable weights attached). Some related extremal problems which arise naturally in this setting are investigated.

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