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Bi-orthogonality and zeros of transformed polynomials

✍ Scribed by A. Iserles; S.P. Nørsett

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
371 KB
Volume
19
Category
Article
ISSN
0377-0427

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📜 SIMILAR VOLUMES

Bi-orthogonality and zeros of transforme
Bi-orthogonality and zeros of transformed polynomials
✍ A. Iserles; S.P. Nørsett 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 302 KB

Let D and E be two real intervals. We consider transformations that map polynomials with zeros in D into polynomials with zeros in E. A general technique for the derivation of such transformations is presented. It is based on identifying the transformation with a parametrised distribution ~(x,/~), x

Zero Asymptotics of Laurent Orthogonal P
Zero Asymptotics of Laurent Orthogonal Polynomials
✍ Manuel Bello Hernández; Andrei Martı́nez Finkelshtein 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 564 KB

Let [h n (z)] be the sequence of polynomials, satisfying where \* n # [0, 2n], n # N. For a wide class of weights d\(x) and under the assumption lim n Ä \* n Â(2n)=% # [0, 1], two descriptions of the zero asymptotics of [h n (z)] are obtained. Furthermore, their analogues for polynomials orthogonal

Zeros and Critical Points of Sobolev Ort
Zeros and Critical Points of Sobolev Orthogonal Polynomials
✍ W. Gautschi; A.B.J. Kuijlaars 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 340 KB

Using potential theoretic methods we study the asymptotic distribution of zeros and critical points of Sobolev orthogonal polynomials, i.e., polynomials orthogonal with respect to an inner product involving derivatives. Under general assumptions it is shown that the critical points have a canonical