About semiclassical polynomials on the unit circle corresponding to the class (2,2) (Q1372721)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: About semiclassical polynomials on the unit circle corresponding to the class (2,2) |
scientific article; zbMATH DE number 1088847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About semiclassical polynomials on the unit circle corresponding to the class (2,2) |
scientific article; zbMATH DE number 1088847 |
Statements
About semiclassical polynomials on the unit circle corresponding to the class (2,2) (English)
0 references
14 December 1997
0 references
The problem of characterizing the orthogonal polynomials on the unit-circle whose moment functionals verify a functional relation \[ D((z-\alpha)(\overline \alpha z-1){\mathcal L})= -i((1=|\alpha|^2)z- 2\alpha){\mathcal L} \] is considered. The regular and positive definite Hermitian solutions of this problem are obtained.
0 references
regular functionals
0 references
difference equations
0 references
orthogonal polynomials
0 references
unit-circle
0 references
moment functionals
0 references
