Stieltjes sums for zeros of orthogonal polynomials
✍ Scribed by André Ronveaux; Martin E. Muldoon
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 374 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The strong Stieltjes moment problem for a bisequence {c n } ∞ n=-∞ consists of finding positive Orthogonal Laurent polynomials associated with the problem play a central role in the study of solutions. When the problem is indeterminate, the odd and even sequences of orthogonal Laurent polynomials s
In this paper, some important properties of orthogonal polynomials of two variables are investigated. The concepts of invariant factor for orthogonal polynomials of two variables are introduced. The presented results include Stieltjies type theorems for multivariate orthogonal polynomials and the co
In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < ∞ or -∞ < t < ∞ , especially for A and B monic polynomials of the same degree. More precisely, we study generalizations and analogues of x -1 n + x + 1 n and their factorizations.
We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the de