Sylvester equations for Laguerre–Hahn orthogonal polynomials on the real line
✍ Scribed by Branquinho, A.; Paiva, A.; Rebocho, M.N.
- Book ID
- 123491877
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 427 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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📜 SIMILAR VOLUMES
Let p n ðxÞ be the orthonormal polynomials associated to a measure dm of compact support in R: If EesuppðdmÞ; we show there is a d40 so that for all n; either p n or p nþ1 has no zeros in ðE À d; E þ dÞ: If E is an isolated point of suppðmÞ; we show there is a d so that for all n; either p n or p nþ
Starting from the Dω-Riccati difference equation satisfied by the Stieltjes function of a linear functional, we work out an algorithm which enables us to write the general fourthorder difference equation satisfied by the associated of any integer order of orthogonal polynomials of the ∆-Laguerre-Hah
The orthogonality of the generalized Laguerre polynomials, [L (:) n (x)] n 0 , is a well known fact when the parameter : is a real number but not a negative integer. In fact, for &1<:, they are orthogonal on the interval [0, + ) with respect to the weight function \(x)=x : e &x , and for :<&1, but n