Orthogonal polynomials on the unit circle associated with the Laguerre polynomials

Shen, Li-Chien

doi:10.1090/S0002-9939-00-05821-4

Orthogonal polynomials on the unit circle associated with the Laguerre polynomials
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Proc. Amer. Math. Soc. 129 (2001), 873-879 Request permission

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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