Characterizations of Laguerre-Hahn affine orthogonal polynomials on the unit circle
In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian linear functional u that satisfies a functional equation D(Au) = Bu + zHL, where A,B and H are polynomials and L is the Lebesgue functional, in terms of a first order linear differential equation for the...
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| Format: | other |
| Language: | eng |
| Published: |
2007
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| Online Access: | http://hdl.handle.net/10316/11309 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11309 |
| Summary: | In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian linear functional u that satisfies a functional equation D(Au) = Bu + zHL, where A,B and H are polynomials and L is the Lebesgue functional, in terms of a first order linear differential equation for the Carath´eodory function associated with u and in terms of a first order structure relation for the orthogonal polynomials. |
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