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Szegő polynomial

From Wikipedia, the free encyclopedia

In mathematics, a Szegő polynomial is one of a family of orthogonal polynomials for the Hermitian inner product

where dμ is a given positive measure on [−π, π]. Writing for the polynomials, they obey a recurrence relation

where is a parameter, called the reflection coefficient or the Szegő parameter.

See also

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References

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  • Bultheel, A. (2001) [1994], "Szegö polynomial", Encyclopedia of Mathematics, EMS Press
  • G. Szegő, "Orthogonal polynomials", Colloq. Publ., 33, Amer. Math. Soc. (1967)