Coherent pairs of linear functionals on the unit circle
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Publication:935087
DOI10.1016/j.jat.2008.03.003zbMath1149.42013OpenAlexW2149545759MaRDI QIDQ935087
M. N. Rebocho, Ana Foulquié Moreno, Amílcar Branquinho, Francisco Marcellán
Publication date: 31 July 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10316/4581
orthogonal polynomialsdifferential equationsthree-term recurrence relationsmeasures on the unit circleHermitian functionals
Related Items (10)
Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials ⋮ Higher order coherent pairs ⋮ \((1,1)\)-coherent pairs on the unit circle ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ On differential equations for orthogonal polynomials on the unit circle ⋮ An extension of the coherent pair of measures of the second kind on the unit circle
Cites Work
- Orthogonal polynomials on the unit circle and their derivatives
- On polynomials orthogonal with respect to certain Sobolev inner products
- Determination of all coherent pairs
- Orthogonal polynomials and rational modifications of lebesgue measure on the unit circle. an inverse problem
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