𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Note on the distribution of zeros of polynomials

✍ Scribed by V. A. Baranova


Publisher
SP MAIK Nauka/Interperiodica
Year
1969
Tongue
English
Weight
95 KB
Volume
5
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A note on asymptotic zero distribution o
✍ William F. Trench πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 163 KB

We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {p n } ∞ n=1 for which the coefficients in the three term recurrence relation are clustered at finite points. The proof uses a matrix argument motivated by a theorem of Tyrty

A note on the zeros of Freud–Sobolev ort
✍ Juan J. Moreno-BalcΓ‘zar πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 141 KB

We prove that the zeros of a certain family of Sobolev orthogonal polynomials involving the Freud weight function e -x 4 on R are real, simple, and interlace with the zeros of the Freud polynomials, i.e., those polynomials orthogonal with respect to the weight function e -x 4 . Some numerical examp

On the zeros of polynomials
✍ A. RΓ©nyi; P. TurΓ‘n πŸ“‚ Article πŸ“… 1952 πŸ› Akadmiai Kiad 🌐 English βš– 329 KB