On Laguerre–Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations

Rebocho, M. N.

doi:10.1080/10652469.2015.1092969

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2019

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“…These topics require specificities that will not be detailed here. The interested reader may find further information on the following references: [16,38,40,55], concerning discrete orthogonality; [18,19,20,21,71], concerning orthogonality on the unit circle. Table 2…”

Section: Final Remarksmentioning

confidence: 99%

Laguerre–Hahn orthogonal polynomials on the real line

Rebocho

2019

Random Matrices: Theory Appl.

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A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coefficients — the so-called Laguerre–Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential equations for the recurrence coefficients, and distributional equations for the corresponding linear functionals.

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Section: Final Remarksmentioning

confidence: 99%

Laguerre–Hahn orthogonal polynomials on the real line

Rebocho

2019

Random Matrices: Theory Appl.

View full text Add to dashboard Cite

show abstract

On Laguerre–Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations

Cited by 1 publication

References 24 publications

Laguerre–Hahn orthogonal polynomials on the real line

Laguerre–Hahn orthogonal polynomials on the real line

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