Orthogonal polynomials on the unit circle

Orthogonal polynomials on the unit circle

In mathematics, orthogonal polynomials on the unit circle are families of polynomials that are orthogonal with respect to integration over the unit circle in the complex plane, for some probability measure on the unit circle. They were introduced by Szegő (1920, 1921, 1939).

The Rogers–Szegő polynomials are an examples of orthogonal polynomials on the unit circle.

References


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