Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509669 | Journal of Computational and Applied Mathematics | 2005 | 17 Pages |
Abstract
Let {Ïk(z)}k=0â be the family of orthonormal Laurent polynomials on the unit circle which spans Î in the “ordering” induced by p(n)=E[(n+1)/2]. From the three-term recurrence relation satisfied by {Ïk(z)}k=0â we deduce a Christoffel-Darboux formula. Particular examples are considered and a Favard-type theorem is proved. A connection with the ordering induced by p(n)=E[n/2] is also established.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ruymán Cruz-Barroso, Pablo González-Vera,