Szegő polynomials from hypergeometric functions
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- by A. Sri Ranga PDF
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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.References
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Additional Information
- A. Sri Ranga
- Affiliation: Departamento de Ciências de Computa̧o e Estatística, Ibilce, Universidade Estadual Paulista, 15054-000, São José do Rio Preto, SP, Brazil
- MR Author ID: 238837
- Email: ranga@ibilce.unesp.br
- Received by editor(s): May 14, 2009
- Received by editor(s) in revised form: November 3, 2009
- Published electronically: July 30, 2010
- Communicated by: Peter A. Clarkson
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 4259-4270
- MSC (2010): Primary 33C05, 42C05; Secondary 33C45
- DOI: https://doi.org/10.1090/S0002-9939-2010-10592-0
- MathSciNet review: 2680052