Proceedings of the American Mathematical Society

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

Szegő polynomials from hypergeometric functions

Author(s): A. Sri Ranga
Journal: Proc. Amer. Math. Soc. 138 (2010), 4259-4270.
MSC (2010): Primary 33C05, 42C05; Secondary 33C45
Posted: July 30, 2010
MathSciNet review: 2680052
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Szegő polynomials with respect to the weight function $\omega(\theta) = e^{\eta \theta} [\sin(\theta/2)]^{2\lambda}$ , where $\eta, \lambda \in \mathbb{R}$ and $\lambda > -1/2$ are considered. Many of the basic relations associated with these polynomials are given explicitly. Two sequences of para-orthogonal polynomials with explicit relations are also given.

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